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Finding the Third Proportional to 1,925.49 and 3,997.28

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Solution

The third proportional to 1,925.49 and 3,997.28 is: 8,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.49 : 3,997.28 = 3,997.28 : x
  2. Step 2: Convert to fraction form
    1,925.49/3,997.28 = 3,997.28/x
  3. Step 3: Cross multiply
    1,925.49x = 3,997.28 × 3,997.28
  4. Step 4: Simplify right side
    1,925.49x = 15,978,237.87
  5. Step 5: Solve for x
    x = 15,978,237.87/1,925.49
  6. Step 6: Final answer
    x = 8,298.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.