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Finding the Third Proportional to 10,138 and 15,166

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Solution

The third proportional to 10,138 and 15,166 is: 22,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138 : 15,166 = 15,166 : x
  2. Step 2: Convert to fraction form
    10,138/15,166 = 15,166/x
  3. Step 3: Cross multiply
    10,138x = 15,166 × 15,166
  4. Step 4: Simplify right side
    10,138x = 230,007,556
  5. Step 5: Solve for x
    x = 230,007,556/10,138
  6. Step 6: Final answer
    x = 22,687.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.