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Finding the Third Proportional to 2,282.13 and 4,920.12

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Solution

The third proportional to 2,282.13 and 4,920.12 is: 10,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.13 : 4,920.12 = 4,920.12 : x
  2. Step 2: Convert to fraction form
    2,282.13/4,920.12 = 4,920.12/x
  3. Step 3: Cross multiply
    2,282.13x = 4,920.12 × 4,920.12
  4. Step 4: Simplify right side
    2,282.13x = 24,207,553.14
  5. Step 5: Solve for x
    x = 24,207,553.14/2,282.13
  6. Step 6: Final answer
    x = 10,607.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.