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Finding the Third Proportional to 2,776 and 6,451

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Solution

The third proportional to 2,776 and 6,451 is: 14,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776 : 6,451 = 6,451 : x
  2. Step 2: Convert to fraction form
    2,776/6,451 = 6,451/x
  3. Step 3: Cross multiply
    2,776x = 6,451 × 6,451
  4. Step 4: Simplify right side
    2,776x = 41,615,401
  5. Step 5: Solve for x
    x = 41,615,401/2,776
  6. Step 6: Final answer
    x = 14,991.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.