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Finding the Third Proportional to 5,974.13 and 8,355.38

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Solution

The third proportional to 5,974.13 and 8,355.38 is: 11,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.13 : 8,355.38 = 8,355.38 : x
  2. Step 2: Convert to fraction form
    5,974.13/8,355.38 = 8,355.38/x
  3. Step 3: Cross multiply
    5,974.13x = 8,355.38 × 8,355.38
  4. Step 4: Simplify right side
    5,974.13x = 69,812,291.39
  5. Step 5: Solve for x
    x = 69,812,291.39/5,974.13
  6. Step 6: Final answer
    x = 11,685.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.