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Finding the Third Proportional to 8,034.61 and 17,626.36

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Solution

The third proportional to 8,034.61 and 17,626.36 is: 38,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.61 : 17,626.36 = 17,626.36 : x
  2. Step 2: Convert to fraction form
    8,034.61/17,626.36 = 17,626.36/x
  3. Step 3: Cross multiply
    8,034.61x = 17,626.36 × 17,626.36
  4. Step 4: Simplify right side
    8,034.61x = 310,688,544.82
  5. Step 5: Solve for x
    x = 310,688,544.82/8,034.61
  6. Step 6: Final answer
    x = 38,668.78

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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.