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Finding the Third Proportional to 48.25 and 114.63

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Solution

The third proportional to 48.25 and 114.63 is: 272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.25 : 114.63 = 114.63 : x
  2. Step 2: Convert to fraction form
    48.25/114.63 = 114.63/x
  3. Step 3: Cross multiply
    48.25x = 114.63 × 114.63
  4. Step 4: Simplify right side
    48.25x = 13,138.89
  5. Step 5: Solve for x
    x = 13,138.89/48.25
  6. Step 6: Final answer
    x = 272.31

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.