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Finding the Third Proportional to 29,024 and 31,616

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Solution

The third proportional to 29,024 and 31,616 is: 34,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,024 : 31,616 = 31,616 : x
  2. Step 2: Convert to fraction form
    29,024/31,616 = 31,616/x
  3. Step 3: Cross multiply
    29,024x = 31,616 × 31,616
  4. Step 4: Simplify right side
    29,024x = 999,571,456
  5. Step 5: Solve for x
    x = 999,571,456/29,024
  6. Step 6: Final answer
    x = 34,439.48

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.