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Finding the Third Proportional to 29,964 and 39,762

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Solution

The third proportional to 29,964 and 39,762 is: 52,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,964 : 39,762 = 39,762 : x
  2. Step 2: Convert to fraction form
    29,964/39,762 = 39,762/x
  3. Step 3: Cross multiply
    29,964x = 39,762 × 39,762
  4. Step 4: Simplify right side
    29,964x = 1,581,016,644
  5. Step 5: Solve for x
    x = 1,581,016,644/29,964
  6. Step 6: Final answer
    x = 52,763.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.