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Finding the Third Proportional to 5,434.13 and 7,177.13

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Solution

The third proportional to 5,434.13 and 7,177.13 is: 9,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.13 : 7,177.13 = 7,177.13 : x
  2. Step 2: Convert to fraction form
    5,434.13/7,177.13 = 7,177.13/x
  3. Step 3: Cross multiply
    5,434.13x = 7,177.13 × 7,177.13
  4. Step 4: Simplify right side
    5,434.13x = 51,511,123.27
  5. Step 5: Solve for x
    x = 51,511,123.27/5,434.13
  6. Step 6: Final answer
    x = 9,479.19

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.