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Finding the Third Proportional to 925.81 and 2,213.38

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Solution

The third proportional to 925.81 and 2,213.38 is: 5,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.81 : 2,213.38 = 2,213.38 : x
  2. Step 2: Convert to fraction form
    925.81/2,213.38 = 2,213.38/x
  3. Step 3: Cross multiply
    925.81x = 2,213.38 × 2,213.38
  4. Step 4: Simplify right side
    925.81x = 4,899,028.89
  5. Step 5: Solve for x
    x = 4,899,028.89/925.81
  6. Step 6: Final answer
    x = 5,291.60

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.