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Finding the Third Proportional to 2,012.06 and 4,432.78

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Solution

The third proportional to 2,012.06 and 4,432.78 is: 9,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.06 : 4,432.78 = 4,432.78 : x
  2. Step 2: Convert to fraction form
    2,012.06/4,432.78 = 4,432.78/x
  3. Step 3: Cross multiply
    2,012.06x = 4,432.78 × 4,432.78
  4. Step 4: Simplify right side
    2,012.06x = 19,649,549.61
  5. Step 5: Solve for x
    x = 19,649,549.61/2,012.06
  6. Step 6: Final answer
    x = 9,765.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.