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Finding the Third Proportional to 48.88 and 74.04

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Solution

The third proportional to 48.88 and 74.04 is: 112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.88 : 74.04 = 74.04 : x
  2. Step 2: Convert to fraction form
    48.88/74.04 = 74.04/x
  3. Step 3: Cross multiply
    48.88x = 74.04 × 74.04
  4. Step 4: Simplify right side
    48.88x = 5,481.78
  5. Step 5: Solve for x
    x = 5,481.78/48.88
  6. Step 6: Final answer
    x = 112.14

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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.