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Finding the Third Proportional to 47.67 and 101.51

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Solution

The third proportional to 47.67 and 101.51 is: 216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.67 : 101.51 = 101.51 : x
  2. Step 2: Convert to fraction form
    47.67/101.51 = 101.51/x
  3. Step 3: Cross multiply
    47.67x = 101.51 × 101.51
  4. Step 4: Simplify right side
    47.67x = 10,305.03
  5. Step 5: Solve for x
    x = 10,305.03/47.67
  6. Step 6: Final answer
    x = 216.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.