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Finding the Third Proportional to 29,412 and 43,542

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Solution

The third proportional to 29,412 and 43,542 is: 64,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,412 : 43,542 = 43,542 : x
  2. Step 2: Convert to fraction form
    29,412/43,542 = 43,542/x
  3. Step 3: Cross multiply
    29,412x = 43,542 × 43,542
  4. Step 4: Simplify right side
    29,412x = 1,895,905,764
  5. Step 5: Solve for x
    x = 1,895,905,764/29,412
  6. Step 6: Final answer
    x = 64,460.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.