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Finding the Third Proportional to 57.28 and 91.29

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Solution

The third proportional to 57.28 and 91.29 is: 145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.28 : 91.29 = 91.29 : x
  2. Step 2: Convert to fraction form
    57.28/91.29 = 91.29/x
  3. Step 3: Cross multiply
    57.28x = 91.29 × 91.29
  4. Step 4: Simplify right side
    57.28x = 8,333.69
  5. Step 5: Solve for x
    x = 8,333.69/57.28
  6. Step 6: Final answer
    x = 145.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.