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Finding the Third Proportional to 38.53 and 57.84

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Solution

The third proportional to 38.53 and 57.84 is: 86.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.53 : 57.84 = 57.84 : x
  2. Step 2: Convert to fraction form
    38.53/57.84 = 57.84/x
  3. Step 3: Cross multiply
    38.53x = 57.84 × 57.84
  4. Step 4: Simplify right side
    38.53x = 3,345.90
  5. Step 5: Solve for x
    x = 3,345.90/38.53
  6. Step 6: Final answer
    x = 86.84

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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.