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Finding the Third Proportional to 29,866 and 43,934

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Solution

The third proportional to 29,866 and 43,934 is: 64,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,866 : 43,934 = 43,934 : x
  2. Step 2: Convert to fraction form
    29,866/43,934 = 43,934/x
  3. Step 3: Cross multiply
    29,866x = 43,934 × 43,934
  4. Step 4: Simplify right side
    29,866x = 1,930,196,356
  5. Step 5: Solve for x
    x = 1,930,196,356/29,866
  6. Step 6: Final answer
    x = 64,628.55

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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.