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Finding the Third Proportional to 22,164 and 48,822

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Solution

The third proportional to 22,164 and 48,822 is: 107,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164 : 48,822 = 48,822 : x
  2. Step 2: Convert to fraction form
    22,164/48,822 = 48,822/x
  3. Step 3: Cross multiply
    22,164x = 48,822 × 48,822
  4. Step 4: Simplify right side
    22,164x = 2,383,587,684
  5. Step 5: Solve for x
    x = 2,383,587,684/22,164
  6. Step 6: Final answer
    x = 107,543.21

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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.