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Finding the Third Proportional to 4,063.92 and 9,442.20

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Solution

The third proportional to 4,063.92 and 9,442.20 is: 21,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063.92 : 9,442.20 = 9,442.20 : x
  2. Step 2: Convert to fraction form
    4,063.92/9,442.20 = 9,442.20/x
  3. Step 3: Cross multiply
    4,063.92x = 9,442.20 × 9,442.20
  4. Step 4: Simplify right side
    4,063.92x = 89,155,052.32
  5. Step 5: Solve for x
    x = 89,155,052.32/4,063.92
  6. Step 6: Final answer
    x = 21,938.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.