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Finding the Third Proportional to 39,916 and 59,527

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Solution

The third proportional to 39,916 and 59,527 is: 88,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,916 : 59,527 = 59,527 : x
  2. Step 2: Convert to fraction form
    39,916/59,527 = 59,527/x
  3. Step 3: Cross multiply
    39,916x = 59,527 × 59,527
  4. Step 4: Simplify right side
    39,916x = 3,543,463,729
  5. Step 5: Solve for x
    x = 3,543,463,729/39,916
  6. Step 6: Final answer
    x = 88,773.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.