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Finding the Third Proportional to 22,452 and 48,786

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Solution

The third proportional to 22,452 and 48,786 is: 106,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452 : 48,786 = 48,786 : x
  2. Step 2: Convert to fraction form
    22,452/48,786 = 48,786/x
  3. Step 3: Cross multiply
    22,452x = 48,786 × 48,786
  4. Step 4: Simplify right side
    22,452x = 2,380,073,796
  5. Step 5: Solve for x
    x = 2,380,073,796/22,452
  6. Step 6: Final answer
    x = 106,007.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.