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Finding the Third Proportional to 21,722 and 32,487

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Solution

The third proportional to 21,722 and 32,487 is: 48,586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722 : 32,487 = 32,487 : x
  2. Step 2: Convert to fraction form
    21,722/32,487 = 32,487/x
  3. Step 3: Cross multiply
    21,722x = 32,487 × 32,487
  4. Step 4: Simplify right side
    21,722x = 1,055,405,169
  5. Step 5: Solve for x
    x = 1,055,405,169/21,722
  6. Step 6: Final answer
    x = 48,586.92

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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.