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Finding the Third Proportional to 10,619.86 and 16,387.31

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Solution

The third proportional to 10,619.86 and 16,387.31 is: 25,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,619.86 : 16,387.31 = 16,387.31 : x
  2. Step 2: Convert to fraction form
    10,619.86/16,387.31 = 16,387.31/x
  3. Step 3: Cross multiply
    10,619.86x = 16,387.31 × 16,387.31
  4. Step 4: Simplify right side
    10,619.86x = 268,544,010.97
  5. Step 5: Solve for x
    x = 268,544,010.97/10,619.86
  6. Step 6: Final answer
    x = 25,286.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.