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Finding the Third Proportional to 3,186.84 and 7,001.44

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Solution

The third proportional to 3,186.84 and 7,001.44 is: 15,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.84 : 7,001.44 = 7,001.44 : x
  2. Step 2: Convert to fraction form
    3,186.84/7,001.44 = 7,001.44/x
  3. Step 3: Cross multiply
    3,186.84x = 7,001.44 × 7,001.44
  4. Step 4: Simplify right side
    3,186.84x = 49,020,127.07
  5. Step 5: Solve for x
    x = 49,020,127.07/3,186.84
  6. Step 6: Final answer
    x = 15,382.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.