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Finding the Third Proportional to 22,822 and 49,052

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Solution

The third proportional to 22,822 and 49,052 is: 105,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822 : 49,052 = 49,052 : x
  2. Step 2: Convert to fraction form
    22,822/49,052 = 49,052/x
  3. Step 3: Cross multiply
    22,822x = 49,052 × 49,052
  4. Step 4: Simplify right side
    22,822x = 2,406,098,704
  5. Step 5: Solve for x
    x = 2,406,098,704/22,822
  6. Step 6: Final answer
    x = 105,428.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.