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Finding the Third Proportional to 4,023.42 and 6,217.38

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Solution

The third proportional to 4,023.42 and 6,217.38 is: 9,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023.42 : 6,217.38 = 6,217.38 : x
  2. Step 2: Convert to fraction form
    4,023.42/6,217.38 = 6,217.38/x
  3. Step 3: Cross multiply
    4,023.42x = 6,217.38 × 6,217.38
  4. Step 4: Simplify right side
    4,023.42x = 38,655,849.04
  5. Step 5: Solve for x
    x = 38,655,849.04/4,023.42
  6. Step 6: Final answer
    x = 9,607.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.