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Finding the Third Proportional to 7,966 and 12,283

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Solution

The third proportional to 7,966 and 12,283 is: 18,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966 : 12,283 = 12,283 : x
  2. Step 2: Convert to fraction form
    7,966/12,283 = 12,283/x
  3. Step 3: Cross multiply
    7,966x = 12,283 × 12,283
  4. Step 4: Simplify right side
    7,966x = 150,872,089
  5. Step 5: Solve for x
    x = 150,872,089/7,966
  6. Step 6: Final answer
    x = 18,939.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.