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Finding the Third Proportional to 10,297.13 and 22,621.78

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Solution

The third proportional to 10,297.13 and 22,621.78 is: 49,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.13 : 22,621.78 = 22,621.78 : x
  2. Step 2: Convert to fraction form
    10,297.13/22,621.78 = 22,621.78/x
  3. Step 3: Cross multiply
    10,297.13x = 22,621.78 × 22,621.78
  4. Step 4: Simplify right side
    10,297.13x = 511,744,986.92
  5. Step 5: Solve for x
    x = 511,744,986.92/10,297.13
  6. Step 6: Final answer
    x = 49,697.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.