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Finding the Third Proportional to 4,591.13 and 5,401.13

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Solution

The third proportional to 4,591.13 and 5,401.13 is: 6,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.13 : 5,401.13 = 5,401.13 : x
  2. Step 2: Convert to fraction form
    4,591.13/5,401.13 = 5,401.13/x
  3. Step 3: Cross multiply
    4,591.13x = 5,401.13 × 5,401.13
  4. Step 4: Simplify right side
    4,591.13x = 29,172,151.27
  5. Step 5: Solve for x
    x = 29,172,151.27/4,591.13
  6. Step 6: Final answer
    x = 6,354.03

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.