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Finding the Third Proportional to 10,217.25 and 13,730.34

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Solution

The third proportional to 10,217.25 and 13,730.34 is: 18,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.25 : 13,730.34 = 13,730.34 : x
  2. Step 2: Convert to fraction form
    10,217.25/13,730.34 = 13,730.34/x
  3. Step 3: Cross multiply
    10,217.25x = 13,730.34 × 13,730.34
  4. Step 4: Simplify right side
    10,217.25x = 188,522,339.49
  5. Step 5: Solve for x
    x = 188,522,339.49/10,217.25
  6. Step 6: Final answer
    x = 18,451.38

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.