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Finding the Third Proportional to 13,574 and 18,687

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Solution

The third proportional to 13,574 and 18,687 is: 25,725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574 : 18,687 = 18,687 : x
  2. Step 2: Convert to fraction form
    13,574/18,687 = 18,687/x
  3. Step 3: Cross multiply
    13,574x = 18,687 × 18,687
  4. Step 4: Simplify right side
    13,574x = 349,203,969
  5. Step 5: Solve for x
    x = 349,203,969/13,574
  6. Step 6: Final answer
    x = 25,725.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.