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Finding the Third Proportional to 12,199 and 24,974

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Solution

The third proportional to 12,199 and 24,974 is: 51,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199 : 24,974 = 24,974 : x
  2. Step 2: Convert to fraction form
    12,199/24,974 = 24,974/x
  3. Step 3: Cross multiply
    12,199x = 24,974 × 24,974
  4. Step 4: Simplify right side
    12,199x = 623,700,676
  5. Step 5: Solve for x
    x = 623,700,676/12,199
  6. Step 6: Final answer
    x = 51,127.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.