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Finding the Third Proportional to 47,799 and 75,939.75

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Solution

The third proportional to 47,799 and 75,939.75 is: 120,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,799 : 75,939.75 = 75,939.75 : x
  2. Step 2: Convert to fraction form
    47,799/75,939.75 = 75,939.75/x
  3. Step 3: Cross multiply
    47,799x = 75,939.75 × 75,939.75
  4. Step 4: Simplify right side
    47,799x = 5,766,845,630.06
  5. Step 5: Solve for x
    x = 5,766,845,630.06/47,799
  6. Step 6: Final answer
    x = 120,647.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.