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Finding the Third Proportional to 5,902.88 and 8,263.27

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Solution

The third proportional to 5,902.88 and 8,263.27 is: 11,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.88 : 8,263.27 = 8,263.27 : x
  2. Step 2: Convert to fraction form
    5,902.88/8,263.27 = 8,263.27/x
  3. Step 3: Cross multiply
    5,902.88x = 8,263.27 × 8,263.27
  4. Step 4: Simplify right side
    5,902.88x = 68,281,558.79
  5. Step 5: Solve for x
    x = 68,281,558.79/5,902.88
  6. Step 6: Final answer
    x = 11,567.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.