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Finding the Third Proportional to 5,406 and 7,812

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Solution

The third proportional to 5,406 and 7,812 is: 11,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406 : 7,812 = 7,812 : x
  2. Step 2: Convert to fraction form
    5,406/7,812 = 7,812/x
  3. Step 3: Cross multiply
    5,406x = 7,812 × 7,812
  4. Step 4: Simplify right side
    5,406x = 61,027,344
  5. Step 5: Solve for x
    x = 61,027,344/5,406
  6. Step 6: Final answer
    x = 11,288.82

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1.5x scale

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.