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Finding the Third Proportional to 8,195.19 and 16,973.44

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Solution

The third proportional to 8,195.19 and 16,973.44 is: 35,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.19 : 16,973.44 = 16,973.44 : x
  2. Step 2: Convert to fraction form
    8,195.19/16,973.44 = 16,973.44/x
  3. Step 3: Cross multiply
    8,195.19x = 16,973.44 × 16,973.44
  4. Step 4: Simplify right side
    8,195.19x = 288,097,580.57
  5. Step 5: Solve for x
    x = 288,097,580.57/8,195.19
  6. Step 6: Final answer
    x = 35,154.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.