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Finding the Third Proportional to 23,822 and 51,877

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Solution

The third proportional to 23,822 and 51,877 is: 112,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822 : 51,877 = 51,877 : x
  2. Step 2: Convert to fraction form
    23,822/51,877 = 51,877/x
  3. Step 3: Cross multiply
    23,822x = 51,877 × 51,877
  4. Step 4: Simplify right side
    23,822x = 2,691,223,129
  5. Step 5: Solve for x
    x = 2,691,223,129/23,822
  6. Step 6: Final answer
    x = 112,972.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.