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Finding the Third Proportional to 16,134.12 and 34,949.71

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Solution

The third proportional to 16,134.12 and 34,949.71 is: 75,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.12 : 34,949.71 = 34,949.71 : x
  2. Step 2: Convert to fraction form
    16,134.12/34,949.71 = 34,949.71/x
  3. Step 3: Cross multiply
    16,134.12x = 34,949.71 × 34,949.71
  4. Step 4: Simplify right side
    16,134.12x = 1,221,482,431.14
  5. Step 5: Solve for x
    x = 1,221,482,431.14/16,134.12
  6. Step 6: Final answer
    x = 75,708.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.