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Finding the Third Proportional to 3,924.88 and 5,887.38

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Solution

The third proportional to 3,924.88 and 5,887.38 is: 8,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.88 : 5,887.38 = 5,887.38 : x
  2. Step 2: Convert to fraction form
    3,924.88/5,887.38 = 5,887.38/x
  3. Step 3: Cross multiply
    3,924.88x = 5,887.38 × 5,887.38
  4. Step 4: Simplify right side
    3,924.88x = 34,661,184.39
  5. Step 5: Solve for x
    x = 34,661,184.39/3,924.88
  6. Step 6: Final answer
    x = 8,831.16

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Why These Related Problems?

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