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Finding the Third Proportional to 8,467.03 and 12,096.84

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Solution

The third proportional to 8,467.03 and 12,096.84 is: 17,282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.03 : 12,096.84 = 12,096.84 : x
  2. Step 2: Convert to fraction form
    8,467.03/12,096.84 = 12,096.84/x
  3. Step 3: Cross multiply
    8,467.03x = 12,096.84 × 12,096.84
  4. Step 4: Simplify right side
    8,467.03x = 146,333,628.71
  5. Step 5: Solve for x
    x = 146,333,628.71/8,467.03
  6. Step 6: Final answer
    x = 17,282.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.