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Finding the Third Proportional to 48.25 and 74.22

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Solution

The third proportional to 48.25 and 74.22 is: 114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.25 : 74.22 = 74.22 : x
  2. Step 2: Convert to fraction form
    48.25/74.22 = 74.22/x
  3. Step 3: Cross multiply
    48.25x = 74.22 × 74.22
  4. Step 4: Simplify right side
    48.25x = 5,508.42
  5. Step 5: Solve for x
    x = 5,508.42/48.25
  6. Step 6: Final answer
    x = 114.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.