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Finding the Third Proportional to 4,768 and 10,822

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Solution

The third proportional to 4,768 and 10,822 is: 24,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768 : 10,822 = 10,822 : x
  2. Step 2: Convert to fraction form
    4,768/10,822 = 10,822/x
  3. Step 3: Cross multiply
    4,768x = 10,822 × 10,822
  4. Step 4: Simplify right side
    4,768x = 117,115,684
  5. Step 5: Solve for x
    x = 117,115,684/4,768
  6. Step 6: Final answer
    x = 24,562.85

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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.