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Finding the Third Proportional to 16,538 and 25,203

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Solution

The third proportional to 16,538 and 25,203 is: 38,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538 : 25,203 = 25,203 : x
  2. Step 2: Convert to fraction form
    16,538/25,203 = 25,203/x
  3. Step 3: Cross multiply
    16,538x = 25,203 × 25,203
  4. Step 4: Simplify right side
    16,538x = 635,191,209
  5. Step 5: Solve for x
    x = 635,191,209/16,538
  6. Step 6: Final answer
    x = 38,407.98

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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.