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Finding the Third Proportional to 8,219.69 and 17,753.06

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Solution

The third proportional to 8,219.69 and 17,753.06 is: 38,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.69 : 17,753.06 = 17,753.06 : x
  2. Step 2: Convert to fraction form
    8,219.69/17,753.06 = 17,753.06/x
  3. Step 3: Cross multiply
    8,219.69x = 17,753.06 × 17,753.06
  4. Step 4: Simplify right side
    8,219.69x = 315,171,228.13
  5. Step 5: Solve for x
    x = 315,171,228.13/8,219.69
  6. Step 6: Final answer
    x = 38,343.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.