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Finding the Third Proportional to 29,434 and 63,853

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Solution

The third proportional to 29,434 and 63,853 is: 138,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,434 : 63,853 = 63,853 : x
  2. Step 2: Convert to fraction form
    29,434/63,853 = 63,853/x
  3. Step 3: Cross multiply
    29,434x = 63,853 × 63,853
  4. Step 4: Simplify right side
    29,434x = 4,077,205,609
  5. Step 5: Solve for x
    x = 4,077,205,609/29,434
  6. Step 6: Final answer
    x = 138,520.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.