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Finding the Third Proportional to 15,134 and 22,834

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Solution

The third proportional to 15,134 and 22,834 is: 34,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,134 : 22,834 = 22,834 : x
  2. Step 2: Convert to fraction form
    15,134/22,834 = 22,834/x
  3. Step 3: Cross multiply
    15,134x = 22,834 × 22,834
  4. Step 4: Simplify right side
    15,134x = 521,391,556
  5. Step 5: Solve for x
    x = 521,391,556/15,134
  6. Step 6: Final answer
    x = 34,451.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.