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Finding the Third Proportional to 10,230.68 and 22,612.29

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Solution

The third proportional to 10,230.68 and 22,612.29 is: 49,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.68 : 22,612.29 = 22,612.29 : x
  2. Step 2: Convert to fraction form
    10,230.68/22,612.29 = 22,612.29/x
  3. Step 3: Cross multiply
    10,230.68x = 22,612.29 × 22,612.29
  4. Step 4: Simplify right side
    10,230.68x = 511,315,616.65
  5. Step 5: Solve for x
    x = 511,315,616.65/10,230.68
  6. Step 6: Final answer
    x = 49,978.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.