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Finding the Third Proportional to 12,994.88 and 20,658.75

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Solution

The third proportional to 12,994.88 and 20,658.75 is: 32,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.88 : 20,658.75 = 20,658.75 : x
  2. Step 2: Convert to fraction form
    12,994.88/20,658.75 = 20,658.75/x
  3. Step 3: Cross multiply
    12,994.88x = 20,658.75 × 20,658.75
  4. Step 4: Simplify right side
    12,994.88x = 426,783,951.56
  5. Step 5: Solve for x
    x = 426,783,951.56/12,994.88
  6. Step 6: Final answer
    x = 32,842.48

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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.