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Finding the Third Proportional to 13,591.13 and 16,348.50

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Solution

The third proportional to 13,591.13 and 16,348.50 is: 19,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,591.13 : 16,348.50 = 16,348.50 : x
  2. Step 2: Convert to fraction form
    13,591.13/16,348.50 = 16,348.50/x
  3. Step 3: Cross multiply
    13,591.13x = 16,348.50 × 16,348.50
  4. Step 4: Simplify right side
    13,591.13x = 267,273,452.25
  5. Step 5: Solve for x
    x = 267,273,452.25/13,591.13
  6. Step 6: Final answer
    x = 19,665.29

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.