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Finding the Third Proportional to 2,499 and 5,477

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Solution

The third proportional to 2,499 and 5,477 is: 12,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499 : 5,477 = 5,477 : x
  2. Step 2: Convert to fraction form
    2,499/5,477 = 5,477/x
  3. Step 3: Cross multiply
    2,499x = 5,477 × 5,477
  4. Step 4: Simplify right side
    2,499x = 29,997,529
  5. Step 5: Solve for x
    x = 29,997,529/2,499
  6. Step 6: Final answer
    x = 12,003.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.