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Finding the Third Proportional to 3,424.78 and 6,109.17

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Solution

The third proportional to 3,424.78 and 6,109.17 is: 10,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.78 : 6,109.17 = 6,109.17 : x
  2. Step 2: Convert to fraction form
    3,424.78/6,109.17 = 6,109.17/x
  3. Step 3: Cross multiply
    3,424.78x = 6,109.17 × 6,109.17
  4. Step 4: Simplify right side
    3,424.78x = 37,321,981.00
  5. Step 5: Solve for x
    x = 37,321,981.00/3,424.78
  6. Step 6: Final answer
    x = 10,897.62

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.