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Finding the Third Proportional to 25,822 and 54,747

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Solution

The third proportional to 25,822 and 54,747 is: 116,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822 : 54,747 = 54,747 : x
  2. Step 2: Convert to fraction form
    25,822/54,747 = 54,747/x
  3. Step 3: Cross multiply
    25,822x = 54,747 × 54,747
  4. Step 4: Simplify right side
    25,822x = 2,997,234,009
  5. Step 5: Solve for x
    x = 2,997,234,009/25,822
  6. Step 6: Final answer
    x = 116,072.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.