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Finding the Third Proportional to 15,900 and 25,171

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Solution

The third proportional to 15,900 and 25,171 is: 39,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900 : 25,171 = 25,171 : x
  2. Step 2: Convert to fraction form
    15,900/25,171 = 25,171/x
  3. Step 3: Cross multiply
    15,900x = 25,171 × 25,171
  4. Step 4: Simplify right side
    15,900x = 633,579,241
  5. Step 5: Solve for x
    x = 633,579,241/15,900
  6. Step 6: Final answer
    x = 39,847.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.