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Finding the Third Proportional to 4,949.23 and 10,306.62

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Solution

The third proportional to 4,949.23 and 10,306.62 is: 21,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.23 : 10,306.62 = 10,306.62 : x
  2. Step 2: Convert to fraction form
    4,949.23/10,306.62 = 10,306.62/x
  3. Step 3: Cross multiply
    4,949.23x = 10,306.62 × 10,306.62
  4. Step 4: Simplify right side
    4,949.23x = 106,226,357.85
  5. Step 5: Solve for x
    x = 106,226,357.85/4,949.23
  6. Step 6: Final answer
    x = 21,463.22

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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.