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Finding the Third Proportional to 3,007.38 and 6,560.69

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Solution

The third proportional to 3,007.38 and 6,560.69 is: 14,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.38 : 6,560.69 = 6,560.69 : x
  2. Step 2: Convert to fraction form
    3,007.38/6,560.69 = 6,560.69/x
  3. Step 3: Cross multiply
    3,007.38x = 6,560.69 × 6,560.69
  4. Step 4: Simplify right side
    3,007.38x = 43,042,620.47
  5. Step 5: Solve for x
    x = 43,042,620.47/3,007.38
  6. Step 6: Final answer
    x = 14,312.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.