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Finding the Third Proportional to 8,662.57 and 13,902.26

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Solution

The third proportional to 8,662.57 and 13,902.26 is: 22,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.57 : 13,902.26 = 13,902.26 : x
  2. Step 2: Convert to fraction form
    8,662.57/13,902.26 = 13,902.26/x
  3. Step 3: Cross multiply
    8,662.57x = 13,902.26 × 13,902.26
  4. Step 4: Simplify right side
    8,662.57x = 193,272,772.29
  5. Step 5: Solve for x
    x = 193,272,772.29/8,662.57
  6. Step 6: Final answer
    x = 22,311.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.