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Finding the Third Proportional to 32,899 and 79,550

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Solution

The third proportional to 32,899 and 79,550 is: 192,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,899 : 79,550 = 79,550 : x
  2. Step 2: Convert to fraction form
    32,899/79,550 = 79,550/x
  3. Step 3: Cross multiply
    32,899x = 79,550 × 79,550
  4. Step 4: Simplify right side
    32,899x = 6,328,202,500
  5. Step 5: Solve for x
    x = 6,328,202,500/32,899
  6. Step 6: Final answer
    x = 192,352.43

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.