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Finding the Third Proportional to 38.53 and 57.23

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Solution

The third proportional to 38.53 and 57.23 is: 85.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.53 : 57.23 = 57.23 : x
  2. Step 2: Convert to fraction form
    38.53/57.23 = 57.23/x
  3. Step 3: Cross multiply
    38.53x = 57.23 × 57.23
  4. Step 4: Simplify right side
    38.53x = 3,275.77
  5. Step 5: Solve for x
    x = 3,275.77/38.53
  6. Step 6: Final answer
    x = 85.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.