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Finding the Third Proportional to 5,246.44 and 7,920.19

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Solution

The third proportional to 5,246.44 and 7,920.19 is: 11,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.44 : 7,920.19 = 7,920.19 : x
  2. Step 2: Convert to fraction form
    5,246.44/7,920.19 = 7,920.19/x
  3. Step 3: Cross multiply
    5,246.44x = 7,920.19 × 7,920.19
  4. Step 4: Simplify right side
    5,246.44x = 62,729,370.04
  5. Step 5: Solve for x
    x = 62,729,370.04/5,246.44
  6. Step 6: Final answer
    x = 11,956.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.