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Finding the Third Proportional to 15,100 and 32,027

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Solution

The third proportional to 15,100 and 32,027 is: 67,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,100 : 32,027 = 32,027 : x
  2. Step 2: Convert to fraction form
    15,100/32,027 = 32,027/x
  3. Step 3: Cross multiply
    15,100x = 32,027 × 32,027
  4. Step 4: Simplify right side
    15,100x = 1,025,728,729
  5. Step 5: Solve for x
    x = 1,025,728,729/15,100
  6. Step 6: Final answer
    x = 67,929.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.