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Finding the Third Proportional to 49 and 76.25

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Solution

The third proportional to 49 and 76.25 is: 118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49 : 76.25 = 76.25 : x
  2. Step 2: Convert to fraction form
    49/76.25 = 76.25/x
  3. Step 3: Cross multiply
    49x = 76.25 × 76.25
  4. Step 4: Simplify right side
    49x = 5,814.06
  5. Step 5: Solve for x
    x = 5,814.06/49
  6. Step 6: Final answer
    x = 118.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.