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Finding the Third Proportional to 26,612 and 61,600

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Solution

The third proportional to 26,612 and 61,600 is: 142,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,612 : 61,600 = 61,600 : x
  2. Step 2: Convert to fraction form
    26,612/61,600 = 61,600/x
  3. Step 3: Cross multiply
    26,612x = 61,600 × 61,600
  4. Step 4: Simplify right side
    26,612x = 3,794,560,000
  5. Step 5: Solve for x
    x = 3,794,560,000/26,612
  6. Step 6: Final answer
    x = 142,588.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.