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Finding the Third Proportional to 2,167.38 and 4,010.13

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Solution

The third proportional to 2,167.38 and 4,010.13 is: 7,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.38 : 4,010.13 = 4,010.13 : x
  2. Step 2: Convert to fraction form
    2,167.38/4,010.13 = 4,010.13/x
  3. Step 3: Cross multiply
    2,167.38x = 4,010.13 × 4,010.13
  4. Step 4: Simplify right side
    2,167.38x = 16,081,165.17
  5. Step 5: Solve for x
    x = 16,081,165.17/2,167.38
  6. Step 6: Final answer
    x = 7,419.62

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.