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Finding the Third Proportional to 13,600.13 and 15,807.38

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Solution

The third proportional to 13,600.13 and 15,807.38 is: 18,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.13 : 15,807.38 = 15,807.38 : x
  2. Step 2: Convert to fraction form
    13,600.13/15,807.38 = 15,807.38/x
  3. Step 3: Cross multiply
    13,600.13x = 15,807.38 × 15,807.38
  4. Step 4: Simplify right side
    13,600.13x = 249,873,104.39
  5. Step 5: Solve for x
    x = 249,873,104.39/13,600.13
  6. Step 6: Final answer
    x = 18,372.85

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.