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Finding the Third Proportional to 16,092 and 25,166

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Solution

The third proportional to 16,092 and 25,166 is: 39,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092 : 25,166 = 25,166 : x
  2. Step 2: Convert to fraction form
    16,092/25,166 = 25,166/x
  3. Step 3: Cross multiply
    16,092x = 25,166 × 25,166
  4. Step 4: Simplify right side
    16,092x = 633,327,556
  5. Step 5: Solve for x
    x = 633,327,556/16,092
  6. Step 6: Final answer
    x = 39,356.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.