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Finding the Third Proportional to 7,759.39 and 12,294.99

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Solution

The third proportional to 7,759.39 and 12,294.99 is: 19,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.39 : 12,294.99 = 12,294.99 : x
  2. Step 2: Convert to fraction form
    7,759.39/12,294.99 = 12,294.99/x
  3. Step 3: Cross multiply
    7,759.39x = 12,294.99 × 12,294.99
  4. Step 4: Simplify right side
    7,759.39x = 151,166,856.90
  5. Step 5: Solve for x
    x = 151,166,856.90/7,759.39
  6. Step 6: Final answer
    x = 19,481.80

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.