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Finding the Third Proportional to 1,387.13 and 2,124.56

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Solution

The third proportional to 1,387.13 and 2,124.56 is: 3,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.13 : 2,124.56 = 2,124.56 : x
  2. Step 2: Convert to fraction form
    1,387.13/2,124.56 = 2,124.56/x
  3. Step 3: Cross multiply
    1,387.13x = 2,124.56 × 2,124.56
  4. Step 4: Simplify right side
    1,387.13x = 4,513,765.82
  5. Step 5: Solve for x
    x = 4,513,765.82/1,387.13
  6. Step 6: Final answer
    x = 3,254.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.