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Finding the Third Proportional to 1,249.59 and 1,901.39

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Solution

The third proportional to 1,249.59 and 1,901.39 is: 2,893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.59 : 1,901.39 = 1,901.39 : x
  2. Step 2: Convert to fraction form
    1,249.59/1,901.39 = 1,901.39/x
  3. Step 3: Cross multiply
    1,249.59x = 1,901.39 × 1,901.39
  4. Step 4: Simplify right side
    1,249.59x = 3,615,286.31
  5. Step 5: Solve for x
    x = 3,615,286.31/1,249.59
  6. Step 6: Final answer
    x = 2,893.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.