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Finding the Third Proportional to 42.50 and 49.75

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Solution

The third proportional to 42.50 and 49.75 is: 58.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.50 : 49.75 = 49.75 : x
  2. Step 2: Convert to fraction form
    42.50/49.75 = 49.75/x
  3. Step 3: Cross multiply
    42.50x = 49.75 × 49.75
  4. Step 4: Simplify right side
    42.50x = 2,475.06
  5. Step 5: Solve for x
    x = 2,475.06/42.50
  6. Step 6: Final answer
    x = 58.24

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.