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Finding the Third Proportional to 8,212.64 and 17,963.02

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Solution

The third proportional to 8,212.64 and 17,963.02 is: 39,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.64 : 17,963.02 = 17,963.02 : x
  2. Step 2: Convert to fraction form
    8,212.64/17,963.02 = 17,963.02/x
  3. Step 3: Cross multiply
    8,212.64x = 17,963.02 × 17,963.02
  4. Step 4: Simplify right side
    8,212.64x = 322,669,930.34
  5. Step 5: Solve for x
    x = 322,669,930.34/8,212.64
  6. Step 6: Final answer
    x = 39,289.43

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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.