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Finding the Third Proportional to 1,387.97 and 2,053.27

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Solution

The third proportional to 1,387.97 and 2,053.27 is: 3,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.97 : 2,053.27 = 2,053.27 : x
  2. Step 2: Convert to fraction form
    1,387.97/2,053.27 = 2,053.27/x
  3. Step 3: Cross multiply
    1,387.97x = 2,053.27 × 2,053.27
  4. Step 4: Simplify right side
    1,387.97x = 4,215,899.73
  5. Step 5: Solve for x
    x = 4,215,899.73/1,387.97
  6. Step 6: Final answer
    x = 3,037.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.