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Finding the Third Proportional to 18,240 and 38,416

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Solution

The third proportional to 18,240 and 38,416 is: 80,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,240 : 38,416 = 38,416 : x
  2. Step 2: Convert to fraction form
    18,240/38,416 = 38,416/x
  3. Step 3: Cross multiply
    18,240x = 38,416 × 38,416
  4. Step 4: Simplify right side
    18,240x = 1,475,789,056
  5. Step 5: Solve for x
    x = 1,475,789,056/18,240
  6. Step 6: Final answer
    x = 80,909.49

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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.