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Finding the Third Proportional to 2,841.66 and 6,169.31

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Solution

The third proportional to 2,841.66 and 6,169.31 is: 13,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.66 : 6,169.31 = 6,169.31 : x
  2. Step 2: Convert to fraction form
    2,841.66/6,169.31 = 6,169.31/x
  3. Step 3: Cross multiply
    2,841.66x = 6,169.31 × 6,169.31
  4. Step 4: Simplify right side
    2,841.66x = 38,060,416.72
  5. Step 5: Solve for x
    x = 38,060,416.72/2,841.66
  6. Step 6: Final answer
    x = 13,393.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.