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Finding the Third Proportional to 47,486 and 73,819

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Solution

The third proportional to 47,486 and 73,819 is: 114,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,486 : 73,819 = 73,819 : x
  2. Step 2: Convert to fraction form
    47,486/73,819 = 73,819/x
  3. Step 3: Cross multiply
    47,486x = 73,819 × 73,819
  4. Step 4: Simplify right side
    47,486x = 5,449,244,761
  5. Step 5: Solve for x
    x = 5,449,244,761/47,486
  6. Step 6: Final answer
    x = 114,754.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.