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Finding the Third Proportional to 4,822 and 10,927

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Solution

The third proportional to 4,822 and 10,927 is: 24,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822 : 10,927 = 10,927 : x
  2. Step 2: Convert to fraction form
    4,822/10,927 = 10,927/x
  3. Step 3: Cross multiply
    4,822x = 10,927 × 10,927
  4. Step 4: Simplify right side
    4,822x = 119,399,329
  5. Step 5: Solve for x
    x = 119,399,329/4,822
  6. Step 6: Final answer
    x = 24,761.37

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.