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Finding the Third Proportional to 32,351 and 43,479

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Solution

The third proportional to 32,351 and 43,479 is: 58,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,351 : 43,479 = 43,479 : x
  2. Step 2: Convert to fraction form
    32,351/43,479 = 43,479/x
  3. Step 3: Cross multiply
    32,351x = 43,479 × 43,479
  4. Step 4: Simplify right side
    32,351x = 1,890,423,441
  5. Step 5: Solve for x
    x = 1,890,423,441/32,351
  6. Step 6: Final answer
    x = 58,434.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.