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Finding the Third Proportional to 22,628 and 29,756

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Solution

The third proportional to 22,628 and 29,756 is: 39,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,628 : 29,756 = 29,756 : x
  2. Step 2: Convert to fraction form
    22,628/29,756 = 29,756/x
  3. Step 3: Cross multiply
    22,628x = 29,756 × 29,756
  4. Step 4: Simplify right side
    22,628x = 885,419,536
  5. Step 5: Solve for x
    x = 885,419,536/22,628
  6. Step 6: Final answer
    x = 39,129.38

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.