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Finding the Third Proportional to 2,659.08 and 6,284.67

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Solution

The third proportional to 2,659.08 and 6,284.67 is: 14,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.08 : 6,284.67 = 6,284.67 : x
  2. Step 2: Convert to fraction form
    2,659.08/6,284.67 = 6,284.67/x
  3. Step 3: Cross multiply
    2,659.08x = 6,284.67 × 6,284.67
  4. Step 4: Simplify right side
    2,659.08x = 39,497,100.58
  5. Step 5: Solve for x
    x = 39,497,100.58/2,659.08
  6. Step 6: Final answer
    x = 14,853.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.