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Finding the Third Proportional to 12,548.53 and 16,729.17

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Solution

The third proportional to 12,548.53 and 16,729.17 is: 22,302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.53 : 16,729.17 = 16,729.17 : x
  2. Step 2: Convert to fraction form
    12,548.53/16,729.17 = 16,729.17/x
  3. Step 3: Cross multiply
    12,548.53x = 16,729.17 × 16,729.17
  4. Step 4: Simplify right side
    12,548.53x = 279,865,191.62
  5. Step 5: Solve for x
    x = 279,865,191.62/12,548.53
  6. Step 6: Final answer
    x = 22,302.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.