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Finding the Third Proportional to 20,328 and 37,281

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Solution

The third proportional to 20,328 and 37,281 is: 68,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,328 : 37,281 = 37,281 : x
  2. Step 2: Convert to fraction form
    20,328/37,281 = 37,281/x
  3. Step 3: Cross multiply
    20,328x = 37,281 × 37,281
  4. Step 4: Simplify right side
    20,328x = 1,389,872,961
  5. Step 5: Solve for x
    x = 1,389,872,961/20,328
  6. Step 6: Final answer
    x = 68,372.34

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.