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Finding the Third Proportional to 2,715.94 and 3,874.03

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Solution

The third proportional to 2,715.94 and 3,874.03 is: 5,525.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.94 : 3,874.03 = 3,874.03 : x
  2. Step 2: Convert to fraction form
    2,715.94/3,874.03 = 3,874.03/x
  3. Step 3: Cross multiply
    2,715.94x = 3,874.03 × 3,874.03
  4. Step 4: Simplify right side
    2,715.94x = 15,008,118.13
  5. Step 5: Solve for x
    x = 15,008,118.13/2,715.94
  6. Step 6: Final answer
    x = 5,525.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.