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Finding the Third Proportional to 10,072.69 and 13,387.78

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Solution

The third proportional to 10,072.69 and 13,387.78 is: 17,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.69 : 13,387.78 = 13,387.78 : x
  2. Step 2: Convert to fraction form
    10,072.69/13,387.78 = 13,387.78/x
  3. Step 3: Cross multiply
    10,072.69x = 13,387.78 × 13,387.78
  4. Step 4: Simplify right side
    10,072.69x = 179,232,686.80
  5. Step 5: Solve for x
    x = 179,232,686.80/10,072.69
  6. Step 6: Final answer
    x = 17,793.93

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