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Finding the Third Proportional to 47.69 and 106.31

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Solution

The third proportional to 47.69 and 106.31 is: 237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.69 : 106.31 = 106.31 : x
  2. Step 2: Convert to fraction form
    47.69/106.31 = 106.31/x
  3. Step 3: Cross multiply
    47.69x = 106.31 × 106.31
  4. Step 4: Simplify right side
    47.69x = 11,302.35
  5. Step 5: Solve for x
    x = 11,302.35/47.69
  6. Step 6: Final answer
    x = 237.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.