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Finding the Third Proportional to 10,437.19 and 16,179.75

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Solution

The third proportional to 10,437.19 and 16,179.75 is: 25,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.19 : 16,179.75 = 16,179.75 : x
  2. Step 2: Convert to fraction form
    10,437.19/16,179.75 = 16,179.75/x
  3. Step 3: Cross multiply
    10,437.19x = 16,179.75 × 16,179.75
  4. Step 4: Simplify right side
    10,437.19x = 261,784,310.06
  5. Step 5: Solve for x
    x = 261,784,310.06/10,437.19
  6. Step 6: Final answer
    x = 25,081.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.