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Finding the Third Proportional to 4,949.25 and 10,306.59

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Solution

The third proportional to 4,949.25 and 10,306.59 is: 21,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.25 : 10,306.59 = 10,306.59 : x
  2. Step 2: Convert to fraction form
    4,949.25/10,306.59 = 10,306.59/x
  3. Step 3: Cross multiply
    4,949.25x = 10,306.59 × 10,306.59
  4. Step 4: Simplify right side
    4,949.25x = 106,225,874.73
  5. Step 5: Solve for x
    x = 106,225,874.73/4,949.25
  6. Step 6: Final answer
    x = 21,463.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.