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Finding the Third Proportional to 32,892 and 71,370

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Solution

The third proportional to 32,892 and 71,370 is: 154,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,892 : 71,370 = 71,370 : x
  2. Step 2: Convert to fraction form
    32,892/71,370 = 71,370/x
  3. Step 3: Cross multiply
    32,892x = 71,370 × 71,370
  4. Step 4: Simplify right side
    32,892x = 5,093,676,900
  5. Step 5: Solve for x
    x = 5,093,676,900/32,892
  6. Step 6: Final answer
    x = 154,860.66

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