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Finding the Third Proportional to 26,512 and 42,200

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Solution

The third proportional to 26,512 and 42,200 is: 67,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,512 : 42,200 = 42,200 : x
  2. Step 2: Convert to fraction form
    26,512/42,200 = 42,200/x
  3. Step 3: Cross multiply
    26,512x = 42,200 × 42,200
  4. Step 4: Simplify right side
    26,512x = 1,780,840,000
  5. Step 5: Solve for x
    x = 1,780,840,000/26,512
  6. Step 6: Final answer
    x = 67,171.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.