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Finding the Third Proportional to 6,338.50 and 13,081

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Solution

The third proportional to 6,338.50 and 13,081 is: 26,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.50 : 13,081 = 13,081 : x
  2. Step 2: Convert to fraction form
    6,338.50/13,081 = 13,081/x
  3. Step 3: Cross multiply
    6,338.50x = 13,081 × 13,081
  4. Step 4: Simplify right side
    6,338.50x = 171,112,561
  5. Step 5: Solve for x
    x = 171,112,561/6,338.50
  6. Step 6: Final answer
    x = 26,995.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.