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Finding the Third Proportional to 22,980 and 34,662

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Solution

The third proportional to 22,980 and 34,662 is: 52,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980 : 34,662 = 34,662 : x
  2. Step 2: Convert to fraction form
    22,980/34,662 = 34,662/x
  3. Step 3: Cross multiply
    22,980x = 34,662 × 34,662
  4. Step 4: Simplify right side
    22,980x = 1,201,454,244
  5. Step 5: Solve for x
    x = 1,201,454,244/22,980
  6. Step 6: Final answer
    x = 52,282.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.