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Finding the Third Proportional to 47,924 and 75,027

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Solution

The third proportional to 47,924 and 75,027 is: 117,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,924 : 75,027 = 75,027 : x
  2. Step 2: Convert to fraction form
    47,924/75,027 = 75,027/x
  3. Step 3: Cross multiply
    47,924x = 75,027 × 75,027
  4. Step 4: Simplify right side
    47,924x = 5,629,050,729
  5. Step 5: Solve for x
    x = 5,629,050,729/47,924
  6. Step 6: Final answer
    x = 117,457.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.