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Finding the Third Proportional to 22,450 and 48,952

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Solution

The third proportional to 22,450 and 48,952 is: 106,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,450 : 48,952 = 48,952 : x
  2. Step 2: Convert to fraction form
    22,450/48,952 = 48,952/x
  3. Step 3: Cross multiply
    22,450x = 48,952 × 48,952
  4. Step 4: Simplify right side
    22,450x = 2,396,298,304
  5. Step 5: Solve for x
    x = 2,396,298,304/22,450
  6. Step 6: Final answer
    x = 106,739.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.