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Finding the Third Proportional to 4,113.28 and 6,016.22

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Solution

The third proportional to 4,113.28 and 6,016.22 is: 8,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.28 : 6,016.22 = 6,016.22 : x
  2. Step 2: Convert to fraction form
    4,113.28/6,016.22 = 6,016.22/x
  3. Step 3: Cross multiply
    4,113.28x = 6,016.22 × 6,016.22
  4. Step 4: Simplify right side
    4,113.28x = 36,194,888.05
  5. Step 5: Solve for x
    x = 36,194,888.05/4,113.28
  6. Step 6: Final answer
    x = 8,799.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.