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Finding the Third Proportional to 6,947.44 and 15,016.22

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Solution

The third proportional to 6,947.44 and 15,016.22 is: 32,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.44 : 15,016.22 = 15,016.22 : x
  2. Step 2: Convert to fraction form
    6,947.44/15,016.22 = 15,016.22/x
  3. Step 3: Cross multiply
    6,947.44x = 15,016.22 × 15,016.22
  4. Step 4: Simplify right side
    6,947.44x = 225,486,825.55
  5. Step 5: Solve for x
    x = 225,486,825.55/6,947.44
  6. Step 6: Final answer
    x = 32,456.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.