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Finding the Third Proportional to 15,285.38 and 33,113.81

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Solution

The third proportional to 15,285.38 and 33,113.81 is: 71,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,285.38 : 33,113.81 = 33,113.81 : x
  2. Step 2: Convert to fraction form
    15,285.38/33,113.81 = 33,113.81/x
  3. Step 3: Cross multiply
    15,285.38x = 33,113.81 × 33,113.81
  4. Step 4: Simplify right side
    15,285.38x = 1,096,524,578.29
  5. Step 5: Solve for x
    x = 1,096,524,578.29/15,285.38
  6. Step 6: Final answer
    x = 71,736.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.