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Finding the Third Proportional to 21,314 and 30,999

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Solution

The third proportional to 21,314 and 30,999 is: 45,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314 : 30,999 = 30,999 : x
  2. Step 2: Convert to fraction form
    21,314/30,999 = 30,999/x
  3. Step 3: Cross multiply
    21,314x = 30,999 × 30,999
  4. Step 4: Simplify right side
    21,314x = 960,938,001
  5. Step 5: Solve for x
    x = 960,938,001/21,314
  6. Step 6: Final answer
    x = 45,084.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.