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Finding the Third Proportional to 13,652 and 19,314

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Solution

The third proportional to 13,652 and 19,314 is: 27,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652 : 19,314 = 19,314 : x
  2. Step 2: Convert to fraction form
    13,652/19,314 = 19,314/x
  3. Step 3: Cross multiply
    13,652x = 19,314 × 19,314
  4. Step 4: Simplify right side
    13,652x = 373,030,596
  5. Step 5: Solve for x
    x = 373,030,596/13,652
  6. Step 6: Final answer
    x = 27,324.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.