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Finding the Third Proportional to 9,221 and 19,195

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Solution

The third proportional to 9,221 and 19,195 is: 39,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221 : 19,195 = 19,195 : x
  2. Step 2: Convert to fraction form
    9,221/19,195 = 19,195/x
  3. Step 3: Cross multiply
    9,221x = 19,195 × 19,195
  4. Step 4: Simplify right side
    9,221x = 368,448,025
  5. Step 5: Solve for x
    x = 368,448,025/9,221
  6. Step 6: Final answer
    x = 39,957.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.