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Finding the Third Proportional to 48.17 and 72.85

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Solution

The third proportional to 48.17 and 72.85 is: 110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.17 : 72.85 = 72.85 : x
  2. Step 2: Convert to fraction form
    48.17/72.85 = 72.85/x
  3. Step 3: Cross multiply
    48.17x = 72.85 × 72.85
  4. Step 4: Simplify right side
    48.17x = 5,307.49
  5. Step 5: Solve for x
    x = 5,307.49/48.17
  6. Step 6: Final answer
    x = 110.18

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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.