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Finding the Third Proportional to 20,384 and 38,208

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Solution

The third proportional to 20,384 and 38,208 is: 71,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384 : 38,208 = 38,208 : x
  2. Step 2: Convert to fraction form
    20,384/38,208 = 38,208/x
  3. Step 3: Cross multiply
    20,384x = 38,208 × 38,208
  4. Step 4: Simplify right side
    20,384x = 1,459,851,264
  5. Step 5: Solve for x
    x = 1,459,851,264/20,384
  6. Step 6: Final answer
    x = 71,617.51

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.