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Finding the Third Proportional to 24,492 and 54,974

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Solution

The third proportional to 24,492 and 54,974 is: 123,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492 : 54,974 = 54,974 : x
  2. Step 2: Convert to fraction form
    24,492/54,974 = 54,974/x
  3. Step 3: Cross multiply
    24,492x = 54,974 × 54,974
  4. Step 4: Simplify right side
    24,492x = 3,022,140,676
  5. Step 5: Solve for x
    x = 3,022,140,676/24,492
  6. Step 6: Final answer
    x = 123,392.97

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.