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Finding the Third Proportional to 39,768 and 59,651

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Solution

The third proportional to 39,768 and 59,651 is: 89,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,768 : 59,651 = 59,651 : x
  2. Step 2: Convert to fraction form
    39,768/59,651 = 59,651/x
  3. Step 3: Cross multiply
    39,768x = 59,651 × 59,651
  4. Step 4: Simplify right side
    39,768x = 3,558,241,801
  5. Step 5: Solve for x
    x = 3,558,241,801/39,768
  6. Step 6: Final answer
    x = 89,475.00

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