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Finding the Third Proportional to 8,411.91 and 12,226.36

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Solution

The third proportional to 8,411.91 and 12,226.36 is: 17,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.91 : 12,226.36 = 12,226.36 : x
  2. Step 2: Convert to fraction form
    8,411.91/12,226.36 = 12,226.36/x
  3. Step 3: Cross multiply
    8,411.91x = 12,226.36 × 12,226.36
  4. Step 4: Simplify right side
    8,411.91x = 149,483,863.57
  5. Step 5: Solve for x
    x = 149,483,863.57/8,411.91
  6. Step 6: Final answer
    x = 17,770.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.