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Finding the Third Proportional to 12,517.88 and 25,381.13

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Solution

The third proportional to 12,517.88 and 25,381.13 is: 51,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,517.88 : 25,381.13 = 25,381.13 : x
  2. Step 2: Convert to fraction form
    12,517.88/25,381.13 = 25,381.13/x
  3. Step 3: Cross multiply
    12,517.88x = 25,381.13 × 25,381.13
  4. Step 4: Simplify right side
    12,517.88x = 644,201,506.27
  5. Step 5: Solve for x
    x = 644,201,506.27/12,517.88
  6. Step 6: Final answer
    x = 51,462.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.