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Finding the Third Proportional to 7,789.78 and 16,900.88

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Solution

The third proportional to 7,789.78 and 16,900.88 is: 36,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.78 : 16,900.88 = 16,900.88 : x
  2. Step 2: Convert to fraction form
    7,789.78/16,900.88 = 16,900.88/x
  3. Step 3: Cross multiply
    7,789.78x = 16,900.88 × 16,900.88
  4. Step 4: Simplify right side
    7,789.78x = 285,639,575.77
  5. Step 5: Solve for x
    x = 285,639,575.77/7,789.78
  6. Step 6: Final answer
    x = 36,668.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.