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Finding the Third Proportional to 937.20 and 1,426.04

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Solution

The third proportional to 937.20 and 1,426.04 is: 2,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.20 : 1,426.04 = 1,426.04 : x
  2. Step 2: Convert to fraction form
    937.20/1,426.04 = 1,426.04/x
  3. Step 3: Cross multiply
    937.20x = 1,426.04 × 1,426.04
  4. Step 4: Simplify right side
    937.20x = 2,033,598.55
  5. Step 5: Solve for x
    x = 2,033,598.55/937.20
  6. Step 6: Final answer
    x = 2,169.88

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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.