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Finding the Third Proportional to 49.26 and 74.48

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Solution

The third proportional to 49.26 and 74.48 is: 112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.26 : 74.48 = 74.48 : x
  2. Step 2: Convert to fraction form
    49.26/74.48 = 74.48/x
  3. Step 3: Cross multiply
    49.26x = 74.48 × 74.48
  4. Step 4: Simplify right side
    49.26x = 5,547.87
  5. Step 5: Solve for x
    x = 5,547.87/49.26
  6. Step 6: Final answer
    x = 112.63

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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.