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Finding the Third Proportional to 4,506.33 and 9,679.22

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Solution

The third proportional to 4,506.33 and 9,679.22 is: 20,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.33 : 9,679.22 = 9,679.22 : x
  2. Step 2: Convert to fraction form
    4,506.33/9,679.22 = 9,679.22/x
  3. Step 3: Cross multiply
    4,506.33x = 9,679.22 × 9,679.22
  4. Step 4: Simplify right side
    4,506.33x = 93,687,275.61
  5. Step 5: Solve for x
    x = 93,687,275.61/4,506.33
  6. Step 6: Final answer
    x = 20,790.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.