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Finding the Third Proportional to 39,964 and 59,730

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Solution

The third proportional to 39,964 and 59,730 is: 89,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,964 : 59,730 = 59,730 : x
  2. Step 2: Convert to fraction form
    39,964/59,730 = 59,730/x
  3. Step 3: Cross multiply
    39,964x = 59,730 × 59,730
  4. Step 4: Simplify right side
    39,964x = 3,567,672,900
  5. Step 5: Solve for x
    x = 3,567,672,900/39,964
  6. Step 6: Final answer
    x = 89,272.17

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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.