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Finding the Third Proportional to 5,883 and 9,227.81

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Solution

The third proportional to 5,883 and 9,227.81 is: 14,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883 : 9,227.81 = 9,227.81 : x
  2. Step 2: Convert to fraction form
    5,883/9,227.81 = 9,227.81/x
  3. Step 3: Cross multiply
    5,883x = 9,227.81 × 9,227.81
  4. Step 4: Simplify right side
    5,883x = 85,152,523.54
  5. Step 5: Solve for x
    x = 85,152,523.54/5,883
  6. Step 6: Final answer
    x = 14,474.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.