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Finding the Third Proportional to 925.17 and 2,004.43

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Solution

The third proportional to 925.17 and 2,004.43 is: 4,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.17 : 2,004.43 = 2,004.43 : x
  2. Step 2: Convert to fraction form
    925.17/2,004.43 = 2,004.43/x
  3. Step 3: Cross multiply
    925.17x = 2,004.43 × 2,004.43
  4. Step 4: Simplify right side
    925.17x = 4,017,754.03
  5. Step 5: Solve for x
    x = 4,017,754.03/925.17
  6. Step 6: Final answer
    x = 4,342.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.