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Finding the Third Proportional to 5,097.94 and 8,944.88

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Solution

The third proportional to 5,097.94 and 8,944.88 is: 15,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.94 : 8,944.88 = 8,944.88 : x
  2. Step 2: Convert to fraction form
    5,097.94/8,944.88 = 8,944.88/x
  3. Step 3: Cross multiply
    5,097.94x = 8,944.88 × 8,944.88
  4. Step 4: Simplify right side
    5,097.94x = 80,010,788.77
  5. Step 5: Solve for x
    x = 80,010,788.77/5,097.94
  6. Step 6: Final answer
    x = 15,694.74

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.