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Finding the Third Proportional to 21,500 and 32,884

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Solution

The third proportional to 21,500 and 32,884 is: 50,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,500 : 32,884 = 32,884 : x
  2. Step 2: Convert to fraction form
    21,500/32,884 = 32,884/x
  3. Step 3: Cross multiply
    21,500x = 32,884 × 32,884
  4. Step 4: Simplify right side
    21,500x = 1,081,357,456
  5. Step 5: Solve for x
    x = 1,081,357,456/21,500
  6. Step 6: Final answer
    x = 50,295.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.