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Finding the Third Proportional to 46.50 and 62.75

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Solution

The third proportional to 46.50 and 62.75 is: 84.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 62.75 = 62.75 : x
  2. Step 2: Convert to fraction form
    46.50/62.75 = 62.75/x
  3. Step 3: Cross multiply
    46.50x = 62.75 × 62.75
  4. Step 4: Simplify right side
    46.50x = 3,937.56
  5. Step 5: Solve for x
    x = 3,937.56/46.50
  6. Step 6: Final answer
    x = 84.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.