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Finding the Third Proportional to 57.28 and 93.94

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Solution

The third proportional to 57.28 and 93.94 is: 154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.28 : 93.94 = 93.94 : x
  2. Step 2: Convert to fraction form
    57.28/93.94 = 93.94/x
  3. Step 3: Cross multiply
    57.28x = 93.94 × 93.94
  4. Step 4: Simplify right side
    57.28x = 8,824.25
  5. Step 5: Solve for x
    x = 8,824.25/57.28
  6. Step 6: Final answer
    x = 154.05

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.