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Finding the Third Proportional to 5,936 and 6,776

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Solution

The third proportional to 5,936 and 6,776 is: 7,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936 : 6,776 = 6,776 : x
  2. Step 2: Convert to fraction form
    5,936/6,776 = 6,776/x
  3. Step 3: Cross multiply
    5,936x = 6,776 × 6,776
  4. Step 4: Simplify right side
    5,936x = 45,914,176
  5. Step 5: Solve for x
    x = 45,914,176/5,936
  6. Step 6: Final answer
    x = 7,734.87

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.