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Finding the Third Proportional to 48.65 and 101.33

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Solution

The third proportional to 48.65 and 101.33 is: 211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.65 : 101.33 = 101.33 : x
  2. Step 2: Convert to fraction form
    48.65/101.33 = 101.33/x
  3. Step 3: Cross multiply
    48.65x = 101.33 × 101.33
  4. Step 4: Simplify right side
    48.65x = 10,267.59
  5. Step 5: Solve for x
    x = 10,267.59/48.65
  6. Step 6: Final answer
    x = 211.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.