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Finding the Third Proportional to 21,131.44 and 32,703.19

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Solution

The third proportional to 21,131.44 and 32,703.19 is: 50,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,131.44 : 32,703.19 = 32,703.19 : x
  2. Step 2: Convert to fraction form
    21,131.44/32,703.19 = 32,703.19/x
  3. Step 3: Cross multiply
    21,131.44x = 32,703.19 × 32,703.19
  4. Step 4: Simplify right side
    21,131.44x = 1,069,498,472.66
  5. Step 5: Solve for x
    x = 1,069,498,472.66/21,131.44
  6. Step 6: Final answer
    x = 50,611.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.