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Finding the Third Proportional to 2,006.65 and 4,142.39

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Solution

The third proportional to 2,006.65 and 4,142.39 is: 8,551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.65 : 4,142.39 = 4,142.39 : x
  2. Step 2: Convert to fraction form
    2,006.65/4,142.39 = 4,142.39/x
  3. Step 3: Cross multiply
    2,006.65x = 4,142.39 × 4,142.39
  4. Step 4: Simplify right side
    2,006.65x = 17,159,400.09
  5. Step 5: Solve for x
    x = 17,159,400.09/2,006.65
  6. Step 6: Final answer
    x = 8,551.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.