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Finding the Third Proportional to 8,219.34 and 17,976.28

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Solution

The third proportional to 8,219.34 and 17,976.28 is: 39,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.34 : 17,976.28 = 17,976.28 : x
  2. Step 2: Convert to fraction form
    8,219.34/17,976.28 = 17,976.28/x
  3. Step 3: Cross multiply
    8,219.34x = 17,976.28 × 17,976.28
  4. Step 4: Simplify right side
    8,219.34x = 323,146,687.58
  5. Step 5: Solve for x
    x = 323,146,687.58/8,219.34
  6. Step 6: Final answer
    x = 39,315.39

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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.