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Finding the Third Proportional to 11,415.80 and 17,912.53

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Solution

The third proportional to 11,415.80 and 17,912.53 is: 28,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.80 : 17,912.53 = 17,912.53 : x
  2. Step 2: Convert to fraction form
    11,415.80/17,912.53 = 17,912.53/x
  3. Step 3: Cross multiply
    11,415.80x = 17,912.53 × 17,912.53
  4. Step 4: Simplify right side
    11,415.80x = 320,858,775.78
  5. Step 5: Solve for x
    x = 320,858,775.78/11,415.80
  6. Step 6: Final answer
    x = 28,106.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.