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Finding the Third Proportional to 23,380.50 and 48,423.75

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Solution

The third proportional to 23,380.50 and 48,423.75 is: 100,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,380.50 : 48,423.75 = 48,423.75 : x
  2. Step 2: Convert to fraction form
    23,380.50/48,423.75 = 48,423.75/x
  3. Step 3: Cross multiply
    23,380.50x = 48,423.75 × 48,423.75
  4. Step 4: Simplify right side
    23,380.50x = 2,344,859,564.06
  5. Step 5: Solve for x
    x = 2,344,859,564.06/23,380.50
  6. Step 6: Final answer
    x = 100,291.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.