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Finding the Third Proportional to 6,841.97 and 13,167.56

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Solution

The third proportional to 6,841.97 and 13,167.56 is: 25,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.97 : 13,167.56 = 13,167.56 : x
  2. Step 2: Convert to fraction form
    6,841.97/13,167.56 = 13,167.56/x
  3. Step 3: Cross multiply
    6,841.97x = 13,167.56 × 13,167.56
  4. Step 4: Simplify right side
    6,841.97x = 173,384,702.19
  5. Step 5: Solve for x
    x = 173,384,702.19/6,841.97
  6. Step 6: Final answer
    x = 25,341.35

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.