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Finding the Third Proportional to 13,132 and 20,338

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Solution

The third proportional to 13,132 and 20,338 is: 31,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132 : 20,338 = 20,338 : x
  2. Step 2: Convert to fraction form
    13,132/20,338 = 20,338/x
  3. Step 3: Cross multiply
    13,132x = 20,338 × 20,338
  4. Step 4: Simplify right side
    13,132x = 413,634,244
  5. Step 5: Solve for x
    x = 413,634,244/13,132
  6. Step 6: Final answer
    x = 31,498.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.