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Finding the Third Proportional to 5,371.88 and 8,300.81

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Solution

The third proportional to 5,371.88 and 8,300.81 is: 12,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.88 : 8,300.81 = 8,300.81 : x
  2. Step 2: Convert to fraction form
    5,371.88/8,300.81 = 8,300.81/x
  3. Step 3: Cross multiply
    5,371.88x = 8,300.81 × 8,300.81
  4. Step 4: Simplify right side
    5,371.88x = 68,903,488.16
  5. Step 5: Solve for x
    x = 68,903,488.16/5,371.88
  6. Step 6: Final answer
    x = 12,826.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.