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Finding the Third Proportional to 6,788 and 7,762

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Solution

The third proportional to 6,788 and 7,762 is: 8,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788 : 7,762 = 7,762 : x
  2. Step 2: Convert to fraction form
    6,788/7,762 = 7,762/x
  3. Step 3: Cross multiply
    6,788x = 7,762 × 7,762
  4. Step 4: Simplify right side
    6,788x = 60,248,644
  5. Step 5: Solve for x
    x = 60,248,644/6,788
  6. Step 6: Final answer
    x = 8,875.76

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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.