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Finding the Third Proportional to 6,355.97 and 12,891.34

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Solution

The third proportional to 6,355.97 and 12,891.34 is: 26,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.97 : 12,891.34 = 12,891.34 : x
  2. Step 2: Convert to fraction form
    6,355.97/12,891.34 = 12,891.34/x
  3. Step 3: Cross multiply
    6,355.97x = 12,891.34 × 12,891.34
  4. Step 4: Simplify right side
    6,355.97x = 166,186,642.97
  5. Step 5: Solve for x
    x = 166,186,642.97/6,355.97
  6. Step 6: Final answer
    x = 26,146.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.