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Finding the Third Proportional to 47.67 and 102.70

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Solution

The third proportional to 47.67 and 102.70 is: 221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.67 : 102.70 = 102.70 : x
  2. Step 2: Convert to fraction form
    47.67/102.70 = 102.70/x
  3. Step 3: Cross multiply
    47.67x = 102.70 × 102.70
  4. Step 4: Simplify right side
    47.67x = 10,547.93
  5. Step 5: Solve for x
    x = 10,547.93/47.67
  6. Step 6: Final answer
    x = 221.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.