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Finding the Third Proportional to 24,974 and 37,718

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Solution

The third proportional to 24,974 and 37,718 is: 56,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,974 : 37,718 = 37,718 : x
  2. Step 2: Convert to fraction form
    24,974/37,718 = 37,718/x
  3. Step 3: Cross multiply
    24,974x = 37,718 × 37,718
  4. Step 4: Simplify right side
    24,974x = 1,422,647,524
  5. Step 5: Solve for x
    x = 1,422,647,524/24,974
  6. Step 6: Final answer
    x = 56,965.14

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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.