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Finding the Third Proportional to 29,741 and 39,650

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Solution

The third proportional to 29,741 and 39,650 is: 52,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741 : 39,650 = 39,650 : x
  2. Step 2: Convert to fraction form
    29,741/39,650 = 39,650/x
  3. Step 3: Cross multiply
    29,741x = 39,650 × 39,650
  4. Step 4: Simplify right side
    29,741x = 1,572,122,500
  5. Step 5: Solve for x
    x = 1,572,122,500/29,741
  6. Step 6: Final answer
    x = 52,860.45

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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.