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Finding the Third Proportional to 26.25 and 41.88

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Solution

The third proportional to 26.25 and 41.88 is: 66.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.25 : 41.88 = 41.88 : x
  2. Step 2: Convert to fraction form
    26.25/41.88 = 41.88/x
  3. Step 3: Cross multiply
    26.25x = 41.88 × 41.88
  4. Step 4: Simplify right side
    26.25x = 1,753.52
  5. Step 5: Solve for x
    x = 1,753.52/26.25
  6. Step 6: Final answer
    x = 66.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.