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Finding the Third Proportional to 5,404.13 and 7,899.38

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Solution

The third proportional to 5,404.13 and 7,899.38 is: 11,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.13 : 7,899.38 = 7,899.38 : x
  2. Step 2: Convert to fraction form
    5,404.13/7,899.38 = 7,899.38/x
  3. Step 3: Cross multiply
    5,404.13x = 7,899.38 × 7,899.38
  4. Step 4: Simplify right side
    5,404.13x = 62,400,125.39
  5. Step 5: Solve for x
    x = 62,400,125.39/5,404.13
  6. Step 6: Final answer
    x = 11,546.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.