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Finding the Third Proportional to 22,670 and 49,822

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Solution

The third proportional to 22,670 and 49,822 is: 109,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,670 : 49,822 = 49,822 : x
  2. Step 2: Convert to fraction form
    22,670/49,822 = 49,822/x
  3. Step 3: Cross multiply
    22,670x = 49,822 × 49,822
  4. Step 4: Simplify right side
    22,670x = 2,482,231,684
  5. Step 5: Solve for x
    x = 2,482,231,684/22,670
  6. Step 6: Final answer
    x = 109,494.12

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