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Finding the Third Proportional to 7,724.11 and 16,678.41

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Solution

The third proportional to 7,724.11 and 16,678.41 is: 36,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.11 : 16,678.41 = 16,678.41 : x
  2. Step 2: Convert to fraction form
    7,724.11/16,678.41 = 16,678.41/x
  3. Step 3: Cross multiply
    7,724.11x = 16,678.41 × 16,678.41
  4. Step 4: Simplify right side
    7,724.11x = 278,169,235.04
  5. Step 5: Solve for x
    x = 278,169,235.04/7,724.11
  6. Step 6: Final answer
    x = 36,013.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.