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Finding the Third Proportional to 8,216.44 and 17,966.81

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Solution

The third proportional to 8,216.44 and 17,966.81 is: 39,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.44 : 17,966.81 = 17,966.81 : x
  2. Step 2: Convert to fraction form
    8,216.44/17,966.81 = 17,966.81/x
  3. Step 3: Cross multiply
    8,216.44x = 17,966.81 × 17,966.81
  4. Step 4: Simplify right side
    8,216.44x = 322,806,351.41
  5. Step 5: Solve for x
    x = 322,806,351.41/8,216.44
  6. Step 6: Final answer
    x = 39,287.87

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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.