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Finding the Third Proportional to 5,874.36 and 9,171.94

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Solution

The third proportional to 5,874.36 and 9,171.94 is: 14,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.36 : 9,171.94 = 9,171.94 : x
  2. Step 2: Convert to fraction form
    5,874.36/9,171.94 = 9,171.94/x
  3. Step 3: Cross multiply
    5,874.36x = 9,171.94 × 9,171.94
  4. Step 4: Simplify right side
    5,874.36x = 84,124,571.86
  5. Step 5: Solve for x
    x = 84,124,571.86/5,874.36
  6. Step 6: Final answer
    x = 14,320.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.