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Finding the Third Proportional to 12,922.88 and 20,498.06

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Solution

The third proportional to 12,922.88 and 20,498.06 is: 32,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.88 : 20,498.06 = 20,498.06 : x
  2. Step 2: Convert to fraction form
    12,922.88/20,498.06 = 20,498.06/x
  3. Step 3: Cross multiply
    12,922.88x = 20,498.06 × 20,498.06
  4. Step 4: Simplify right side
    12,922.88x = 420,170,566.25
  5. Step 5: Solve for x
    x = 420,170,566.25/12,922.88
  6. Step 6: Final answer
    x = 32,513.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.