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Finding the Third Proportional to 21,908 and 32,092

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Solution

The third proportional to 21,908 and 32,092 is: 47,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908 : 32,092 = 32,092 : x
  2. Step 2: Convert to fraction form
    21,908/32,092 = 32,092/x
  3. Step 3: Cross multiply
    21,908x = 32,092 × 32,092
  4. Step 4: Simplify right side
    21,908x = 1,029,896,464
  5. Step 5: Solve for x
    x = 1,029,896,464/21,908
  6. Step 6: Final answer
    x = 47,010.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.