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Finding the Third Proportional to 1,249.17 and 1,959.61

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Solution

The third proportional to 1,249.17 and 1,959.61 is: 3,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.17 : 1,959.61 = 1,959.61 : x
  2. Step 2: Convert to fraction form
    1,249.17/1,959.61 = 1,959.61/x
  3. Step 3: Cross multiply
    1,249.17x = 1,959.61 × 1,959.61
  4. Step 4: Simplify right side
    1,249.17x = 3,840,068.90
  5. Step 5: Solve for x
    x = 3,840,068.90/1,249.17
  6. Step 6: Final answer
    x = 3,074.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.