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Finding the Third Proportional to 15,382.13 and 33,639.75

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Solution

The third proportional to 15,382.13 and 33,639.75 is: 73,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382.13 : 33,639.75 = 33,639.75 : x
  2. Step 2: Convert to fraction form
    15,382.13/33,639.75 = 33,639.75/x
  3. Step 3: Cross multiply
    15,382.13x = 33,639.75 × 33,639.75
  4. Step 4: Simplify right side
    15,382.13x = 1,131,632,780.06
  5. Step 5: Solve for x
    x = 1,131,632,780.06/15,382.13
  6. Step 6: Final answer
    x = 73,568.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.