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Finding the Third Proportional to 23,449.50 and 35,133.75

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Solution

The third proportional to 23,449.50 and 35,133.75 is: 52,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449.50 : 35,133.75 = 35,133.75 : x
  2. Step 2: Convert to fraction form
    23,449.50/35,133.75 = 35,133.75/x
  3. Step 3: Cross multiply
    23,449.50x = 35,133.75 × 35,133.75
  4. Step 4: Simplify right side
    23,449.50x = 1,234,380,389.06
  5. Step 5: Solve for x
    x = 1,234,380,389.06/23,449.50
  6. Step 6: Final answer
    x = 52,639.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.