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Finding the Third Proportional to 18,268 and 24,287

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Solution

The third proportional to 18,268 and 24,287 is: 32,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,268 : 24,287 = 24,287 : x
  2. Step 2: Convert to fraction form
    18,268/24,287 = 24,287/x
  3. Step 3: Cross multiply
    18,268x = 24,287 × 24,287
  4. Step 4: Simplify right side
    18,268x = 589,858,369
  5. Step 5: Solve for x
    x = 589,858,369/18,268
  6. Step 6: Final answer
    x = 32,289.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.