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Finding the Third Proportional to 38.94 and 58.52

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Solution

The third proportional to 38.94 and 58.52 is: 87.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.94 : 58.52 = 58.52 : x
  2. Step 2: Convert to fraction form
    38.94/58.52 = 58.52/x
  3. Step 3: Cross multiply
    38.94x = 58.52 × 58.52
  4. Step 4: Simplify right side
    38.94x = 3,424.99
  5. Step 5: Solve for x
    x = 3,424.99/38.94
  6. Step 6: Final answer
    x = 87.95

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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.