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Finding the Third Proportional to 39,406 and 58,974

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Solution

The third proportional to 39,406 and 58,974 is: 88,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,406 : 58,974 = 58,974 : x
  2. Step 2: Convert to fraction form
    39,406/58,974 = 58,974/x
  3. Step 3: Cross multiply
    39,406x = 58,974 × 58,974
  4. Step 4: Simplify right side
    39,406x = 3,477,932,676
  5. Step 5: Solve for x
    x = 3,477,932,676/39,406
  6. Step 6: Final answer
    x = 88,258.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.