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Finding the Third Proportional to 26.44 and 40.53

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Solution

The third proportional to 26.44 and 40.53 is: 62.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.44 : 40.53 = 40.53 : x
  2. Step 2: Convert to fraction form
    26.44/40.53 = 40.53/x
  3. Step 3: Cross multiply
    26.44x = 40.53 × 40.53
  4. Step 4: Simplify right side
    26.44x = 1,642.60
  5. Step 5: Solve for x
    x = 1,642.60/26.44
  6. Step 6: Final answer
    x = 62.12

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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.