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Finding the Third Proportional to 24.35 and 36.53

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Solution

The third proportional to 24.35 and 36.53 is: 54.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.35 : 36.53 = 36.53 : x
  2. Step 2: Convert to fraction form
    24.35/36.53 = 36.53/x
  3. Step 3: Cross multiply
    24.35x = 36.53 × 36.53
  4. Step 4: Simplify right side
    24.35x = 1,334.25
  5. Step 5: Solve for x
    x = 1,334.25/24.35
  6. Step 6: Final answer
    x = 54.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.