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Finding the Third Proportional to 32,479 and 69,793

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Solution

The third proportional to 32,479 and 69,793 is: 149,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,479 : 69,793 = 69,793 : x
  2. Step 2: Convert to fraction form
    32,479/69,793 = 69,793/x
  3. Step 3: Cross multiply
    32,479x = 69,793 × 69,793
  4. Step 4: Simplify right side
    32,479x = 4,871,062,849
  5. Step 5: Solve for x
    x = 4,871,062,849/32,479
  6. Step 6: Final answer
    x = 149,975.76

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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.