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Finding the Third Proportional to 3,072.52 and 6,593.06

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Solution

The third proportional to 3,072.52 and 6,593.06 is: 14,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.52 : 6,593.06 = 6,593.06 : x
  2. Step 2: Convert to fraction form
    3,072.52/6,593.06 = 6,593.06/x
  3. Step 3: Cross multiply
    3,072.52x = 6,593.06 × 6,593.06
  4. Step 4: Simplify right side
    3,072.52x = 43,468,473.13
  5. Step 5: Solve for x
    x = 43,468,473.13/3,072.52
  6. Step 6: Final answer
    x = 14,147.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.