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Finding the Third Proportional to 21,992 and 32,576

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Solution

The third proportional to 21,992 and 32,576 is: 48,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992 : 32,576 = 32,576 : x
  2. Step 2: Convert to fraction form
    21,992/32,576 = 32,576/x
  3. Step 3: Cross multiply
    21,992x = 32,576 × 32,576
  4. Step 4: Simplify right side
    21,992x = 1,061,195,776
  5. Step 5: Solve for x
    x = 1,061,195,776/21,992
  6. Step 6: Final answer
    x = 48,253.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.