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Finding the Third Proportional to 1,337.13 and 3,092.24

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Solution

The third proportional to 1,337.13 and 3,092.24 is: 7,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.13 : 3,092.24 = 3,092.24 : x
  2. Step 2: Convert to fraction form
    1,337.13/3,092.24 = 3,092.24/x
  3. Step 3: Cross multiply
    1,337.13x = 3,092.24 × 3,092.24
  4. Step 4: Simplify right side
    1,337.13x = 9,561,937.59
  5. Step 5: Solve for x
    x = 9,561,937.59/1,337.13
  6. Step 6: Final answer
    x = 7,151.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.