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Finding the Third Proportional to 9,259 and 13,231

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Solution

The third proportional to 9,259 and 13,231 is: 18,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259 : 13,231 = 13,231 : x
  2. Step 2: Convert to fraction form
    9,259/13,231 = 13,231/x
  3. Step 3: Cross multiply
    9,259x = 13,231 × 13,231
  4. Step 4: Simplify right side
    9,259x = 175,059,361
  5. Step 5: Solve for x
    x = 175,059,361/9,259
  6. Step 6: Final answer
    x = 18,906.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.