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Finding the Third Proportional to 8,922.66 and 12,966.33

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Solution

The third proportional to 8,922.66 and 12,966.33 is: 18,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.66 : 12,966.33 = 12,966.33 : x
  2. Step 2: Convert to fraction form
    8,922.66/12,966.33 = 12,966.33/x
  3. Step 3: Cross multiply
    8,922.66x = 12,966.33 × 12,966.33
  4. Step 4: Simplify right side
    8,922.66x = 168,125,665.05
  5. Step 5: Solve for x
    x = 168,125,665.05/8,922.66
  6. Step 6: Final answer
    x = 18,842.56

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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.