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Finding the Third Proportional to 15,883.88 and 34,534.13

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Solution

The third proportional to 15,883.88 and 34,534.13 is: 75,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.88 : 34,534.13 = 34,534.13 : x
  2. Step 2: Convert to fraction form
    15,883.88/34,534.13 = 34,534.13/x
  3. Step 3: Cross multiply
    15,883.88x = 34,534.13 × 34,534.13
  4. Step 4: Simplify right side
    15,883.88x = 1,192,605,789.52
  5. Step 5: Solve for x
    x = 1,192,605,789.52/15,883.88
  6. Step 6: Final answer
    x = 75,082.80

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Why These Related Problems?

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