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Finding the Third Proportional to 47,991 and 76,674

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Solution

The third proportional to 47,991 and 76,674 is: 122,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,991 : 76,674 = 76,674 : x
  2. Step 2: Convert to fraction form
    47,991/76,674 = 76,674/x
  3. Step 3: Cross multiply
    47,991x = 76,674 × 76,674
  4. Step 4: Simplify right side
    47,991x = 5,878,902,276
  5. Step 5: Solve for x
    x = 5,878,902,276/47,991
  6. Step 6: Final answer
    x = 122,500.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.