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Finding the Third Proportional to 49.50 and 83.75

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Solution

The third proportional to 49.50 and 83.75 is: 141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.50 : 83.75 = 83.75 : x
  2. Step 2: Convert to fraction form
    49.50/83.75 = 83.75/x
  3. Step 3: Cross multiply
    49.50x = 83.75 × 83.75
  4. Step 4: Simplify right side
    49.50x = 7,014.06
  5. Step 5: Solve for x
    x = 7,014.06/49.50
  6. Step 6: Final answer
    x = 141.70

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.