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Finding the Third Proportional to 3,141.68 and 6,541.78

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Solution

The third proportional to 3,141.68 and 6,541.78 is: 13,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.68 : 6,541.78 = 6,541.78 : x
  2. Step 2: Convert to fraction form
    3,141.68/6,541.78 = 6,541.78/x
  3. Step 3: Cross multiply
    3,141.68x = 6,541.78 × 6,541.78
  4. Step 4: Simplify right side
    3,141.68x = 42,794,863.59
  5. Step 5: Solve for x
    x = 42,794,863.59/3,141.68
  6. Step 6: Final answer
    x = 13,621.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.