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Finding the Third Proportional to 3,192.47 and 6,967.97

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Solution

The third proportional to 3,192.47 and 6,967.97 is: 15,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.47 : 6,967.97 = 6,967.97 : x
  2. Step 2: Convert to fraction form
    3,192.47/6,967.97 = 6,967.97/x
  3. Step 3: Cross multiply
    3,192.47x = 6,967.97 × 6,967.97
  4. Step 4: Simplify right side
    3,192.47x = 48,552,588.50
  5. Step 5: Solve for x
    x = 48,552,588.50/3,192.47
  6. Step 6: Final answer
    x = 15,208.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.