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Finding the Third Proportional to 4,631.34 and 9,843.19

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Solution

The third proportional to 4,631.34 and 9,843.19 is: 20,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.34 : 9,843.19 = 9,843.19 : x
  2. Step 2: Convert to fraction form
    4,631.34/9,843.19 = 9,843.19/x
  3. Step 3: Cross multiply
    4,631.34x = 9,843.19 × 9,843.19
  4. Step 4: Simplify right side
    4,631.34x = 96,888,340.16
  5. Step 5: Solve for x
    x = 96,888,340.16/4,631.34
  6. Step 6: Final answer
    x = 20,920.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.