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Finding the Third Proportional to 3,402.84 and 8,193.23

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Solution

The third proportional to 3,402.84 and 8,193.23 is: 19,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.84 : 8,193.23 = 8,193.23 : x
  2. Step 2: Convert to fraction form
    3,402.84/8,193.23 = 8,193.23/x
  3. Step 3: Cross multiply
    3,402.84x = 8,193.23 × 8,193.23
  4. Step 4: Simplify right side
    3,402.84x = 67,129,089.52
  5. Step 5: Solve for x
    x = 67,129,089.52/3,402.84
  6. Step 6: Final answer
    x = 19,727.35

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.