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Finding the Third Proportional to 3,126 and 3,549

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Solution

The third proportional to 3,126 and 3,549 is: 4,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126 : 3,549 = 3,549 : x
  2. Step 2: Convert to fraction form
    3,126/3,549 = 3,549/x
  3. Step 3: Cross multiply
    3,126x = 3,549 × 3,549
  4. Step 4: Simplify right side
    3,126x = 12,595,401
  5. Step 5: Solve for x
    x = 12,595,401/3,126
  6. Step 6: Final answer
    x = 4,029.24

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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.