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Finding the Third Proportional to 29,743 and 39,653

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Solution

The third proportional to 29,743 and 39,653 is: 52,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,743 : 39,653 = 39,653 : x
  2. Step 2: Convert to fraction form
    29,743/39,653 = 39,653/x
  3. Step 3: Cross multiply
    29,743x = 39,653 × 39,653
  4. Step 4: Simplify right side
    29,743x = 1,572,360,409
  5. Step 5: Solve for x
    x = 1,572,360,409/29,743
  6. Step 6: Final answer
    x = 52,864.89

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