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Finding the Third Proportional to 13,273 and 19,186

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Solution

The third proportional to 13,273 and 19,186 is: 27,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,273 : 19,186 = 19,186 : x
  2. Step 2: Convert to fraction form
    13,273/19,186 = 19,186/x
  3. Step 3: Cross multiply
    13,273x = 19,186 × 19,186
  4. Step 4: Simplify right side
    13,273x = 368,102,596
  5. Step 5: Solve for x
    x = 368,102,596/13,273
  6. Step 6: Final answer
    x = 27,733.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.