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Finding the Third Proportional to 15,138.14 and 33,294.80

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Solution

The third proportional to 15,138.14 and 33,294.80 is: 73,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.14 : 33,294.80 = 33,294.80 : x
  2. Step 2: Convert to fraction form
    15,138.14/33,294.80 = 33,294.80/x
  3. Step 3: Cross multiply
    15,138.14x = 33,294.80 × 33,294.80
  4. Step 4: Simplify right side
    15,138.14x = 1,108,543,498.95
  5. Step 5: Solve for x
    x = 1,108,543,498.95/15,138.14
  6. Step 6: Final answer
    x = 73,228.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.