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Finding the Third Proportional to 3,000.38 and 4,114.13

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Solution

The third proportional to 3,000.38 and 4,114.13 is: 5,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.38 : 4,114.13 = 4,114.13 : x
  2. Step 2: Convert to fraction form
    3,000.38/4,114.13 = 4,114.13/x
  3. Step 3: Cross multiply
    3,000.38x = 4,114.13 × 4,114.13
  4. Step 4: Simplify right side
    3,000.38x = 16,926,024.52
  5. Step 5: Solve for x
    x = 16,926,024.52/3,000.38
  6. Step 6: Final answer
    x = 5,641.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.