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Finding the Third Proportional to 13,652 and 19,662

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Solution

The third proportional to 13,652 and 19,662 is: 28,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652 : 19,662 = 19,662 : x
  2. Step 2: Convert to fraction form
    13,652/19,662 = 19,662/x
  3. Step 3: Cross multiply
    13,652x = 19,662 × 19,662
  4. Step 4: Simplify right side
    13,652x = 386,594,244
  5. Step 5: Solve for x
    x = 386,594,244/13,652
  6. Step 6: Final answer
    x = 28,317.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.