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Finding the Third Proportional to 65.75 and 83.50

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Solution

The third proportional to 65.75 and 83.50 is: 106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.75 : 83.50 = 83.50 : x
  2. Step 2: Convert to fraction form
    65.75/83.50 = 83.50/x
  3. Step 3: Cross multiply
    65.75x = 83.50 × 83.50
  4. Step 4: Simplify right side
    65.75x = 6,972.25
  5. Step 5: Solve for x
    x = 6,972.25/65.75
  6. Step 6: Final answer
    x = 106.04

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.