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Finding the Third Proportional to 17,829 and 25,555

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Solution

The third proportional to 17,829 and 25,555 is: 36,628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829 : 25,555 = 25,555 : x
  2. Step 2: Convert to fraction form
    17,829/25,555 = 25,555/x
  3. Step 3: Cross multiply
    17,829x = 25,555 × 25,555
  4. Step 4: Simplify right side
    17,829x = 653,058,025
  5. Step 5: Solve for x
    x = 653,058,025/17,829
  6. Step 6: Final answer
    x = 36,628.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.