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Finding the Third Proportional to 21,784 and 32,589

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Solution

The third proportional to 21,784 and 32,589 is: 48,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784 : 32,589 = 32,589 : x
  2. Step 2: Convert to fraction form
    21,784/32,589 = 32,589/x
  3. Step 3: Cross multiply
    21,784x = 32,589 × 32,589
  4. Step 4: Simplify right side
    21,784x = 1,062,042,921
  5. Step 5: Solve for x
    x = 1,062,042,921/21,784
  6. Step 6: Final answer
    x = 48,753.35

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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.