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Finding the Third Proportional to 9,252 and 20,195

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Solution

The third proportional to 9,252 and 20,195 is: 44,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252 : 20,195 = 20,195 : x
  2. Step 2: Convert to fraction form
    9,252/20,195 = 20,195/x
  3. Step 3: Cross multiply
    9,252x = 20,195 × 20,195
  4. Step 4: Simplify right side
    9,252x = 407,838,025
  5. Step 5: Solve for x
    x = 407,838,025/9,252
  6. Step 6: Final answer
    x = 44,081.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.