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Finding the Third Proportional to 15,882.75 and 34,534.69

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Solution

The third proportional to 15,882.75 and 34,534.69 is: 75,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.75 : 34,534.69 = 34,534.69 : x
  2. Step 2: Convert to fraction form
    15,882.75/34,534.69 = 34,534.69/x
  3. Step 3: Cross multiply
    15,882.75x = 34,534.69 × 34,534.69
  4. Step 4: Simplify right side
    15,882.75x = 1,192,644,640.72
  5. Step 5: Solve for x
    x = 1,192,644,640.72/15,882.75
  6. Step 6: Final answer
    x = 75,090.56

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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.