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Finding the Third Proportional to 5,306 and 7,966

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Solution

The third proportional to 5,306 and 7,966 is: 11,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306 : 7,966 = 7,966 : x
  2. Step 2: Convert to fraction form
    5,306/7,966 = 7,966/x
  3. Step 3: Cross multiply
    5,306x = 7,966 × 7,966
  4. Step 4: Simplify right side
    5,306x = 63,457,156
  5. Step 5: Solve for x
    x = 63,457,156/5,306
  6. Step 6: Final answer
    x = 11,959.51

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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.