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Finding the Third Proportional to 28,934 and 43,711

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Solution

The third proportional to 28,934 and 43,711 is: 66,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,934 : 43,711 = 43,711 : x
  2. Step 2: Convert to fraction form
    28,934/43,711 = 43,711/x
  3. Step 3: Cross multiply
    28,934x = 43,711 × 43,711
  4. Step 4: Simplify right side
    28,934x = 1,910,651,521
  5. Step 5: Solve for x
    x = 1,910,651,521/28,934
  6. Step 6: Final answer
    x = 66,034.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.