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Finding the Third Proportional to 30,046 and 65,027

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Solution

The third proportional to 30,046 and 65,027 is: 140,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,046 : 65,027 = 65,027 : x
  2. Step 2: Convert to fraction form
    30,046/65,027 = 65,027/x
  3. Step 3: Cross multiply
    30,046x = 65,027 × 65,027
  4. Step 4: Simplify right side
    30,046x = 4,228,510,729
  5. Step 5: Solve for x
    x = 4,228,510,729/30,046
  6. Step 6: Final answer
    x = 140,734.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.