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Finding the Third Proportional to 13,627 and 19,283

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Solution

The third proportional to 13,627 and 19,283 is: 27,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627 : 19,283 = 19,283 : x
  2. Step 2: Convert to fraction form
    13,627/19,283 = 19,283/x
  3. Step 3: Cross multiply
    13,627x = 19,283 × 19,283
  4. Step 4: Simplify right side
    13,627x = 371,834,089
  5. Step 5: Solve for x
    x = 371,834,089/13,627
  6. Step 6: Final answer
    x = 27,286.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.