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Finding the Third Proportional to 22,318 and 29,619

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Solution

The third proportional to 22,318 and 29,619 is: 39,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,318 : 29,619 = 29,619 : x
  2. Step 2: Convert to fraction form
    22,318/29,619 = 29,619/x
  3. Step 3: Cross multiply
    22,318x = 29,619 × 29,619
  4. Step 4: Simplify right side
    22,318x = 877,285,161
  5. Step 5: Solve for x
    x = 877,285,161/22,318
  6. Step 6: Final answer
    x = 39,308.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.