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Finding the Third Proportional to 6,195.47 and 8,831.91

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Solution

The third proportional to 6,195.47 and 8,831.91 is: 12,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.47 : 8,831.91 = 8,831.91 : x
  2. Step 2: Convert to fraction form
    6,195.47/8,831.91 = 8,831.91/x
  3. Step 3: Cross multiply
    6,195.47x = 8,831.91 × 8,831.91
  4. Step 4: Simplify right side
    6,195.47x = 78,002,568.01
  5. Step 5: Solve for x
    x = 78,002,568.01/6,195.47
  6. Step 6: Final answer
    x = 12,590.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.