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Finding the Third Proportional to 2,800 and 3,642

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Solution

The third proportional to 2,800 and 3,642 is: 4,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800 : 3,642 = 3,642 : x
  2. Step 2: Convert to fraction form
    2,800/3,642 = 3,642/x
  3. Step 3: Cross multiply
    2,800x = 3,642 × 3,642
  4. Step 4: Simplify right side
    2,800x = 13,264,164
  5. Step 5: Solve for x
    x = 13,264,164/2,800
  6. Step 6: Final answer
    x = 4,737.20

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.