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Finding the Third Proportional to 8,175 and 12,226.50

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Solution

The third proportional to 8,175 and 12,226.50 is: 18,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175 : 12,226.50 = 12,226.50 : x
  2. Step 2: Convert to fraction form
    8,175/12,226.50 = 12,226.50/x
  3. Step 3: Cross multiply
    8,175x = 12,226.50 × 12,226.50
  4. Step 4: Simplify right side
    8,175x = 149,487,302.25
  5. Step 5: Solve for x
    x = 149,487,302.25/8,175
  6. Step 6: Final answer
    x = 18,285.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.