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Finding the Third Proportional to 3,001.43 and 6,908.41

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Solution

The third proportional to 3,001.43 and 6,908.41 is: 15,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.43 : 6,908.41 = 6,908.41 : x
  2. Step 2: Convert to fraction form
    3,001.43/6,908.41 = 6,908.41/x
  3. Step 3: Cross multiply
    3,001.43x = 6,908.41 × 6,908.41
  4. Step 4: Simplify right side
    3,001.43x = 47,726,184.86
  5. Step 5: Solve for x
    x = 47,726,184.86/3,001.43
  6. Step 6: Final answer
    x = 15,901.15

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.