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Finding the Third Proportional to 21,953 and 32,925

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Solution

The third proportional to 21,953 and 32,925 is: 49,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,953 : 32,925 = 32,925 : x
  2. Step 2: Convert to fraction form
    21,953/32,925 = 32,925/x
  3. Step 3: Cross multiply
    21,953x = 32,925 × 32,925
  4. Step 4: Simplify right side
    21,953x = 1,084,055,625
  5. Step 5: Solve for x
    x = 1,084,055,625/21,953
  6. Step 6: Final answer
    x = 49,380.75

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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.