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Finding the Third Proportional to 15,882 and 34,911

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Solution

The third proportional to 15,882 and 34,911 is: 76,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882 : 34,911 = 34,911 : x
  2. Step 2: Convert to fraction form
    15,882/34,911 = 34,911/x
  3. Step 3: Cross multiply
    15,882x = 34,911 × 34,911
  4. Step 4: Simplify right side
    15,882x = 1,218,777,921
  5. Step 5: Solve for x
    x = 1,218,777,921/15,882
  6. Step 6: Final answer
    x = 76,739.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.