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Finding the Third Proportional to 16,209 and 25,137

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Solution

The third proportional to 16,209 and 25,137 is: 38,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209 : 25,137 = 25,137 : x
  2. Step 2: Convert to fraction form
    16,209/25,137 = 25,137/x
  3. Step 3: Cross multiply
    16,209x = 25,137 × 25,137
  4. Step 4: Simplify right side
    16,209x = 631,868,769
  5. Step 5: Solve for x
    x = 631,868,769/16,209
  6. Step 6: Final answer
    x = 38,982.59

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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.