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Finding the Third Proportional to 13,780.13 and 28,375.31

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Solution

The third proportional to 13,780.13 and 28,375.31 is: 58,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.13 : 28,375.31 = 28,375.31 : x
  2. Step 2: Convert to fraction form
    13,780.13/28,375.31 = 28,375.31/x
  3. Step 3: Cross multiply
    13,780.13x = 28,375.31 × 28,375.31
  4. Step 4: Simplify right side
    13,780.13x = 805,158,359.47
  5. Step 5: Solve for x
    x = 805,158,359.47/13,780.13
  6. Step 6: Final answer
    x = 58,428.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.