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Finding the Third Proportional to 3,677 and 7,414

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Solution

The third proportional to 3,677 and 7,414 is: 14,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677 : 7,414 = 7,414 : x
  2. Step 2: Convert to fraction form
    3,677/7,414 = 7,414/x
  3. Step 3: Cross multiply
    3,677x = 7,414 × 7,414
  4. Step 4: Simplify right side
    3,677x = 54,967,396
  5. Step 5: Solve for x
    x = 54,967,396/3,677
  6. Step 6: Final answer
    x = 14,948.98

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.