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Finding the Third Proportional to 12,922.31 and 20,733.19

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Solution

The third proportional to 12,922.31 and 20,733.19 is: 33,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.31 : 20,733.19 = 20,733.19 : x
  2. Step 2: Convert to fraction form
    12,922.31/20,733.19 = 20,733.19/x
  3. Step 3: Cross multiply
    12,922.31x = 20,733.19 × 20,733.19
  4. Step 4: Simplify right side
    12,922.31x = 429,865,063.91
  5. Step 5: Solve for x
    x = 429,865,063.91/12,922.31
  6. Step 6: Final answer
    x = 33,265.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.