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Finding the Third Proportional to 10,124 and 18,040

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Solution

The third proportional to 10,124 and 18,040 is: 32,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124 : 18,040 = 18,040 : x
  2. Step 2: Convert to fraction form
    10,124/18,040 = 18,040/x
  3. Step 3: Cross multiply
    10,124x = 18,040 × 18,040
  4. Step 4: Simplify right side
    10,124x = 325,441,600
  5. Step 5: Solve for x
    x = 325,441,600/10,124
  6. Step 6: Final answer
    x = 32,145.56

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.