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Finding the Third Proportional to 6,016.31 and 13,195.13

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Solution

The third proportional to 6,016.31 and 13,195.13 is: 28,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.31 : 13,195.13 = 13,195.13 : x
  2. Step 2: Convert to fraction form
    6,016.31/13,195.13 = 13,195.13/x
  3. Step 3: Cross multiply
    6,016.31x = 13,195.13 × 13,195.13
  4. Step 4: Simplify right side
    6,016.31x = 174,111,323.77
  5. Step 5: Solve for x
    x = 174,111,323.77/6,016.31
  6. Step 6: Final answer
    x = 28,939.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.