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Finding the Third Proportional to 17,022.38 and 37,274.63

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Solution

The third proportional to 17,022.38 and 37,274.63 is: 81,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.38 : 37,274.63 = 37,274.63 : x
  2. Step 2: Convert to fraction form
    17,022.38/37,274.63 = 37,274.63/x
  3. Step 3: Cross multiply
    17,022.38x = 37,274.63 × 37,274.63
  4. Step 4: Simplify right side
    17,022.38x = 1,389,397,668.89
  5. Step 5: Solve for x
    x = 1,389,397,668.89/17,022.38
  6. Step 6: Final answer
    x = 81,621.85

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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.