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Finding the Third Proportional to 21,827 and 32,704

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Solution

The third proportional to 21,827 and 32,704 is: 49,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827 : 32,704 = 32,704 : x
  2. Step 2: Convert to fraction form
    21,827/32,704 = 32,704/x
  3. Step 3: Cross multiply
    21,827x = 32,704 × 32,704
  4. Step 4: Simplify right side
    21,827x = 1,069,551,616
  5. Step 5: Solve for x
    x = 1,069,551,616/21,827
  6. Step 6: Final answer
    x = 49,001.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.