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Finding the Third Proportional to 11,517.19 and 21,606.75

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Solution

The third proportional to 11,517.19 and 21,606.75 is: 40,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.19 : 21,606.75 = 21,606.75 : x
  2. Step 2: Convert to fraction form
    11,517.19/21,606.75 = 21,606.75/x
  3. Step 3: Cross multiply
    11,517.19x = 21,606.75 × 21,606.75
  4. Step 4: Simplify right side
    11,517.19x = 466,851,645.56
  5. Step 5: Solve for x
    x = 466,851,645.56/11,517.19
  6. Step 6: Final answer
    x = 40,535.21

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.