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Finding the Third Proportional to 35.44 and 53.53

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Solution

The third proportional to 35.44 and 53.53 is: 80.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.44 : 53.53 = 53.53 : x
  2. Step 2: Convert to fraction form
    35.44/53.53 = 53.53/x
  3. Step 3: Cross multiply
    35.44x = 53.53 × 53.53
  4. Step 4: Simplify right side
    35.44x = 2,865.59
  5. Step 5: Solve for x
    x = 2,865.59/35.44
  6. Step 6: Final answer
    x = 80.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.