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Finding the Third Proportional to 47.11 and 70.59

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Solution

The third proportional to 47.11 and 70.59 is: 105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.11 : 70.59 = 70.59 : x
  2. Step 2: Convert to fraction form
    47.11/70.59 = 70.59/x
  3. Step 3: Cross multiply
    47.11x = 70.59 × 70.59
  4. Step 4: Simplify right side
    47.11x = 4,983.48
  5. Step 5: Solve for x
    x = 4,983.48/47.11
  6. Step 6: Final answer
    x = 105.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.