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Finding the Third Proportional to 3,093.19 and 5,158.69

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Solution

The third proportional to 3,093.19 and 5,158.69 is: 8,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.19 : 5,158.69 = 5,158.69 : x
  2. Step 2: Convert to fraction form
    3,093.19/5,158.69 = 5,158.69/x
  3. Step 3: Cross multiply
    3,093.19x = 5,158.69 × 5,158.69
  4. Step 4: Simplify right side
    3,093.19x = 26,612,056.72
  5. Step 5: Solve for x
    x = 26,612,056.72/3,093.19
  6. Step 6: Final answer
    x = 8,603.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.