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Finding the Third Proportional to 30,749 and 45,027

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Solution

The third proportional to 30,749 and 45,027 is: 65,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,749 : 45,027 = 45,027 : x
  2. Step 2: Convert to fraction form
    30,749/45,027 = 45,027/x
  3. Step 3: Cross multiply
    30,749x = 45,027 × 45,027
  4. Step 4: Simplify right side
    30,749x = 2,027,430,729
  5. Step 5: Solve for x
    x = 2,027,430,729/30,749
  6. Step 6: Final answer
    x = 65,934.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.