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Finding the Third Proportional to 39,918 and 66,527

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Solution

The third proportional to 39,918 and 66,527 is: 110,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,918 : 66,527 = 66,527 : x
  2. Step 2: Convert to fraction form
    39,918/66,527 = 66,527/x
  3. Step 3: Cross multiply
    39,918x = 66,527 × 66,527
  4. Step 4: Simplify right side
    39,918x = 4,425,841,729
  5. Step 5: Solve for x
    x = 4,425,841,729/39,918
  6. Step 6: Final answer
    x = 110,873.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.