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Finding the Third Proportional to 26.58 and 40.71

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Solution

The third proportional to 26.58 and 40.71 is: 62.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.58 : 40.71 = 40.71 : x
  2. Step 2: Convert to fraction form
    26.58/40.71 = 40.71/x
  3. Step 3: Cross multiply
    26.58x = 40.71 × 40.71
  4. Step 4: Simplify right side
    26.58x = 1,657.38
  5. Step 5: Solve for x
    x = 1,657.38/26.58
  6. Step 6: Final answer
    x = 62.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.