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Finding the Third Proportional to 6,805.13 and 13,291.31

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Solution

The third proportional to 6,805.13 and 13,291.31 is: 25,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.13 : 13,291.31 = 13,291.31 : x
  2. Step 2: Convert to fraction form
    6,805.13/13,291.31 = 13,291.31/x
  3. Step 3: Cross multiply
    6,805.13x = 13,291.31 × 13,291.31
  4. Step 4: Simplify right side
    6,805.13x = 176,658,987.97
  5. Step 5: Solve for x
    x = 176,658,987.97/6,805.13
  6. Step 6: Final answer
    x = 25,959.70

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.