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Finding the Third Proportional to 2,776 and 6,697

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Solution

The third proportional to 2,776 and 6,697 is: 16,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776 : 6,697 = 6,697 : x
  2. Step 2: Convert to fraction form
    2,776/6,697 = 6,697/x
  3. Step 3: Cross multiply
    2,776x = 6,697 × 6,697
  4. Step 4: Simplify right side
    2,776x = 44,849,809
  5. Step 5: Solve for x
    x = 44,849,809/2,776
  6. Step 6: Final answer
    x = 16,156.27

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.