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Finding the Third Proportional to 32,974 and 73,328

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Solution

The third proportional to 32,974 and 73,328 is: 163,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,974 : 73,328 = 73,328 : x
  2. Step 2: Convert to fraction form
    32,974/73,328 = 73,328/x
  3. Step 3: Cross multiply
    32,974x = 73,328 × 73,328
  4. Step 4: Simplify right side
    32,974x = 5,376,995,584
  5. Step 5: Solve for x
    x = 5,376,995,584/32,974
  6. Step 6: Final answer
    x = 163,067.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.