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Finding the Third Proportional to 32,874.75 and 70,677

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Solution

The third proportional to 32,874.75 and 70,677 is: 151,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.75 : 70,677 = 70,677 : x
  2. Step 2: Convert to fraction form
    32,874.75/70,677 = 70,677/x
  3. Step 3: Cross multiply
    32,874.75x = 70,677 × 70,677
  4. Step 4: Simplify right side
    32,874.75x = 4,995,238,329
  5. Step 5: Solve for x
    x = 4,995,238,329/32,874.75
  6. Step 6: Final answer
    x = 151,947.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.