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Finding the Third Proportional to 32,919 and 72,846

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Solution

The third proportional to 32,919 and 72,846 is: 161,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,919 : 72,846 = 72,846 : x
  2. Step 2: Convert to fraction form
    32,919/72,846 = 72,846/x
  3. Step 3: Cross multiply
    32,919x = 72,846 × 72,846
  4. Step 4: Simplify right side
    32,919x = 5,306,539,716
  5. Step 5: Solve for x
    x = 5,306,539,716/32,919
  6. Step 6: Final answer
    x = 161,199.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.