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Finding the Third Proportional to 17,512.88 and 24,082.31

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Solution

The third proportional to 17,512.88 and 24,082.31 is: 33,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,512.88 : 24,082.31 = 24,082.31 : x
  2. Step 2: Convert to fraction form
    17,512.88/24,082.31 = 24,082.31/x
  3. Step 3: Cross multiply
    17,512.88x = 24,082.31 × 24,082.31
  4. Step 4: Simplify right side
    17,512.88x = 579,957,775.35
  5. Step 5: Solve for x
    x = 579,957,775.35/17,512.88
  6. Step 6: Final answer
    x = 33,116.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.