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Finding the Third Proportional to 17,382.09 and 37,224.56

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Solution

The third proportional to 17,382.09 and 37,224.56 is: 79,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.09 : 37,224.56 = 37,224.56 : x
  2. Step 2: Convert to fraction form
    17,382.09/37,224.56 = 37,224.56/x
  3. Step 3: Cross multiply
    17,382.09x = 37,224.56 × 37,224.56
  4. Step 4: Simplify right side
    17,382.09x = 1,385,668,053.32
  5. Step 5: Solve for x
    x = 1,385,668,053.32/17,382.09
  6. Step 6: Final answer
    x = 79,718.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.