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Finding the Third Proportional to 47.31 and 99.69

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Solution

The third proportional to 47.31 and 99.69 is: 210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.31 : 99.69 = 99.69 : x
  2. Step 2: Convert to fraction form
    47.31/99.69 = 99.69/x
  3. Step 3: Cross multiply
    47.31x = 99.69 × 99.69
  4. Step 4: Simplify right side
    47.31x = 9,937.60
  5. Step 5: Solve for x
    x = 9,937.60/47.31
  6. Step 6: Final answer
    x = 210.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.