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Finding the Third Proportional to 29,442 and 41,943

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Solution

The third proportional to 29,442 and 41,943 is: 59,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,442 : 41,943 = 41,943 : x
  2. Step 2: Convert to fraction form
    29,442/41,943 = 41,943/x
  3. Step 3: Cross multiply
    29,442x = 41,943 × 41,943
  4. Step 4: Simplify right side
    29,442x = 1,759,215,249
  5. Step 5: Solve for x
    x = 1,759,215,249/29,442
  6. Step 6: Final answer
    x = 59,751.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.