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Finding the Third Proportional to 5,974.13 and 9,042.19

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Solution

The third proportional to 5,974.13 and 9,042.19 is: 13,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.13 : 9,042.19 = 9,042.19 : x
  2. Step 2: Convert to fraction form
    5,974.13/9,042.19 = 9,042.19/x
  3. Step 3: Cross multiply
    5,974.13x = 9,042.19 × 9,042.19
  4. Step 4: Simplify right side
    5,974.13x = 81,761,154.79
  5. Step 5: Solve for x
    x = 81,761,154.79/5,974.13
  6. Step 6: Final answer
    x = 13,685.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.