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Finding the Third Proportional to 62.75 and 91.88

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Solution

The third proportional to 62.75 and 91.88 is: 134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.75 : 91.88 = 91.88 : x
  2. Step 2: Convert to fraction form
    62.75/91.88 = 91.88/x
  3. Step 3: Cross multiply
    62.75x = 91.88 × 91.88
  4. Step 4: Simplify right side
    62.75x = 8,441.02
  5. Step 5: Solve for x
    x = 8,441.02/62.75
  6. Step 6: Final answer
    x = 134.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.