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Finding the Third Proportional to 4,822 and 10,742

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Solution

The third proportional to 4,822 and 10,742 is: 23,930.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822 : 10,742 = 10,742 : x
  2. Step 2: Convert to fraction form
    4,822/10,742 = 10,742/x
  3. Step 3: Cross multiply
    4,822x = 10,742 × 10,742
  4. Step 4: Simplify right side
    4,822x = 115,390,564
  5. Step 5: Solve for x
    x = 115,390,564/4,822
  6. Step 6: Final answer
    x = 23,930.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.