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Finding the Third Proportional to 20,788 and 31,616

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Solution

The third proportional to 20,788 and 31,616 is: 48,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,788 : 31,616 = 31,616 : x
  2. Step 2: Convert to fraction form
    20,788/31,616 = 31,616/x
  3. Step 3: Cross multiply
    20,788x = 31,616 × 31,616
  4. Step 4: Simplify right side
    20,788x = 999,571,456
  5. Step 5: Solve for x
    x = 999,571,456/20,788
  6. Step 6: Final answer
    x = 48,084.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.