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Finding the Third Proportional to 13,275 and 20,241

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Solution

The third proportional to 13,275 and 20,241 is: 30,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275 : 20,241 = 20,241 : x
  2. Step 2: Convert to fraction form
    13,275/20,241 = 20,241/x
  3. Step 3: Cross multiply
    13,275x = 20,241 × 20,241
  4. Step 4: Simplify right side
    13,275x = 409,698,081
  5. Step 5: Solve for x
    x = 409,698,081/13,275
  6. Step 6: Final answer
    x = 30,862.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.