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Finding the Third Proportional to 40,914 and 60,027

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Solution

The third proportional to 40,914 and 60,027 is: 88,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,914 : 60,027 = 60,027 : x
  2. Step 2: Convert to fraction form
    40,914/60,027 = 60,027/x
  3. Step 3: Cross multiply
    40,914x = 60,027 × 60,027
  4. Step 4: Simplify right side
    40,914x = 3,603,240,729
  5. Step 5: Solve for x
    x = 3,603,240,729/40,914
  6. Step 6: Final answer
    x = 88,068.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.