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Finding the Third Proportional to 15,268 and 32,177

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Solution

The third proportional to 15,268 and 32,177 is: 67,812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,268 : 32,177 = 32,177 : x
  2. Step 2: Convert to fraction form
    15,268/32,177 = 32,177/x
  3. Step 3: Cross multiply
    15,268x = 32,177 × 32,177
  4. Step 4: Simplify right side
    15,268x = 1,035,359,329
  5. Step 5: Solve for x
    x = 1,035,359,329/15,268
  6. Step 6: Final answer
    x = 67,812.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.