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Finding the Third Proportional to 39,974 and 83,224

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Solution

The third proportional to 39,974 and 83,224 is: 173,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,974 : 83,224 = 83,224 : x
  2. Step 2: Convert to fraction form
    39,974/83,224 = 83,224/x
  3. Step 3: Cross multiply
    39,974x = 83,224 × 83,224
  4. Step 4: Simplify right side
    39,974x = 6,926,234,176
  5. Step 5: Solve for x
    x = 6,926,234,176/39,974
  6. Step 6: Final answer
    x = 173,268.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.