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Finding the Third Proportional to 29,474 and 43,341

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Solution

The third proportional to 29,474 and 43,341 is: 63,732.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,474 : 43,341 = 43,341 : x
  2. Step 2: Convert to fraction form
    29,474/43,341 = 43,341/x
  3. Step 3: Cross multiply
    29,474x = 43,341 × 43,341
  4. Step 4: Simplify right side
    29,474x = 1,878,442,281
  5. Step 5: Solve for x
    x = 1,878,442,281/29,474
  6. Step 6: Final answer
    x = 63,732.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.