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Finding the Third Proportional to 21,796.50 and 30,693

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Solution

The third proportional to 21,796.50 and 30,693 is: 43,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796.50 : 30,693 = 30,693 : x
  2. Step 2: Convert to fraction form
    21,796.50/30,693 = 30,693/x
  3. Step 3: Cross multiply
    21,796.50x = 30,693 × 30,693
  4. Step 4: Simplify right side
    21,796.50x = 942,060,249
  5. Step 5: Solve for x
    x = 942,060,249/21,796.50
  6. Step 6: Final answer
    x = 43,220.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.