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Finding the Third Proportional to 21,286.13 and 29,220.75

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Solution

The third proportional to 21,286.13 and 29,220.75 is: 40,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,286.13 : 29,220.75 = 29,220.75 : x
  2. Step 2: Convert to fraction form
    21,286.13/29,220.75 = 29,220.75/x
  3. Step 3: Cross multiply
    21,286.13x = 29,220.75 × 29,220.75
  4. Step 4: Simplify right side
    21,286.13x = 853,852,230.56
  5. Step 5: Solve for x
    x = 853,852,230.56/21,286.13
  6. Step 6: Final answer
    x = 40,113.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.