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Finding the Third Proportional to 10,342.69 and 13,873.78

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Solution

The third proportional to 10,342.69 and 13,873.78 is: 18,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.69 : 13,873.78 = 13,873.78 : x
  2. Step 2: Convert to fraction form
    10,342.69/13,873.78 = 13,873.78/x
  3. Step 3: Cross multiply
    10,342.69x = 13,873.78 × 13,873.78
  4. Step 4: Simplify right side
    10,342.69x = 192,481,806.17
  5. Step 5: Solve for x
    x = 192,481,806.17/10,342.69
  6. Step 6: Final answer
    x = 18,610.42

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.