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Finding the Third Proportional to 23,565.75 and 48,771.75

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Solution

The third proportional to 23,565.75 and 48,771.75 is: 100,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.75 : 48,771.75 = 48,771.75 : x
  2. Step 2: Convert to fraction form
    23,565.75/48,771.75 = 48,771.75/x
  3. Step 3: Cross multiply
    23,565.75x = 48,771.75 × 48,771.75
  4. Step 4: Simplify right side
    23,565.75x = 2,378,683,598.06
  5. Step 5: Solve for x
    x = 2,378,683,598.06/23,565.75
  6. Step 6: Final answer
    x = 100,938.17

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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.