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Finding the Third Proportional to 22,309 and 29,741

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Solution

The third proportional to 22,309 and 29,741 is: 39,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309 : 29,741 = 29,741 : x
  2. Step 2: Convert to fraction form
    22,309/29,741 = 29,741/x
  3. Step 3: Cross multiply
    22,309x = 29,741 × 29,741
  4. Step 4: Simplify right side
    22,309x = 884,527,081
  5. Step 5: Solve for x
    x = 884,527,081/22,309
  6. Step 6: Final answer
    x = 39,648.89

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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.