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Finding the Third Proportional to 5,404.13 and 7,930.69

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Solution

The third proportional to 5,404.13 and 7,930.69 is: 11,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.13 : 7,930.69 = 7,930.69 : x
  2. Step 2: Convert to fraction form
    5,404.13/7,930.69 = 7,930.69/x
  3. Step 3: Cross multiply
    5,404.13x = 7,930.69 × 7,930.69
  4. Step 4: Simplify right side
    5,404.13x = 62,895,804.22
  5. Step 5: Solve for x
    x = 62,895,804.22/5,404.13
  6. Step 6: Final answer
    x = 11,638.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.