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Finding the Third Proportional to 6,298 and 8,556

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Solution

The third proportional to 6,298 and 8,556 is: 11,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298 : 8,556 = 8,556 : x
  2. Step 2: Convert to fraction form
    6,298/8,556 = 8,556/x
  3. Step 3: Cross multiply
    6,298x = 8,556 × 8,556
  4. Step 4: Simplify right side
    6,298x = 73,205,136
  5. Step 5: Solve for x
    x = 73,205,136/6,298
  6. Step 6: Final answer
    x = 11,623.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.