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Finding the Third Proportional to 6,847.88 and 10,279.69

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Solution

The third proportional to 6,847.88 and 10,279.69 is: 15,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.88 : 10,279.69 = 10,279.69 : x
  2. Step 2: Convert to fraction form
    6,847.88/10,279.69 = 10,279.69/x
  3. Step 3: Cross multiply
    6,847.88x = 10,279.69 × 10,279.69
  4. Step 4: Simplify right side
    6,847.88x = 105,671,975.10
  5. Step 5: Solve for x
    x = 105,671,975.10/6,847.88
  6. Step 6: Final answer
    x = 15,431.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.