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Finding the Third Proportional to 2,521.97 and 3,805.73

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Solution

The third proportional to 2,521.97 and 3,805.73 is: 5,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.97 : 3,805.73 = 3,805.73 : x
  2. Step 2: Convert to fraction form
    2,521.97/3,805.73 = 3,805.73/x
  3. Step 3: Cross multiply
    2,521.97x = 3,805.73 × 3,805.73
  4. Step 4: Simplify right side
    2,521.97x = 14,483,614.13
  5. Step 5: Solve for x
    x = 14,483,614.13/2,521.97
  6. Step 6: Final answer
    x = 5,742.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.