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Finding the Third Proportional to 5,884.69 and 8,249.63

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Solution

The third proportional to 5,884.69 and 8,249.63 is: 11,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.69 : 8,249.63 = 8,249.63 : x
  2. Step 2: Convert to fraction form
    5,884.69/8,249.63 = 8,249.63/x
  3. Step 3: Cross multiply
    5,884.69x = 8,249.63 × 8,249.63
  4. Step 4: Simplify right side
    5,884.69x = 68,056,312.64
  5. Step 5: Solve for x
    x = 68,056,312.64/5,884.69
  6. Step 6: Final answer
    x = 11,564.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.