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Finding the Third Proportional to 49 and 74

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Solution

The third proportional to 49 and 74 is: 111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49 : 74 = 74 : x
  2. Step 2: Convert to fraction form
    49/74 = 74/x
  3. Step 3: Cross multiply
    49x = 74 × 74
  4. Step 4: Simplify right side
    49x = 5,476
  5. Step 5: Solve for x
    x = 5,476/49
  6. Step 6: Final answer
    x = 111.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.