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Finding the Third Proportional to 2,008.69 and 4,342.31

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Solution

The third proportional to 2,008.69 and 4,342.31 is: 9,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.69 : 4,342.31 = 4,342.31 : x
  2. Step 2: Convert to fraction form
    2,008.69/4,342.31 = 4,342.31/x
  3. Step 3: Cross multiply
    2,008.69x = 4,342.31 × 4,342.31
  4. Step 4: Simplify right side
    2,008.69x = 18,855,677.85
  5. Step 5: Solve for x
    x = 18,855,677.85/2,008.69
  6. Step 6: Final answer
    x = 9,387.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.