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Finding the Third Proportional to 5,831.44 and 8,114.06

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Solution

The third proportional to 5,831.44 and 8,114.06 is: 11,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.44 : 8,114.06 = 8,114.06 : x
  2. Step 2: Convert to fraction form
    5,831.44/8,114.06 = 8,114.06/x
  3. Step 3: Cross multiply
    5,831.44x = 8,114.06 × 8,114.06
  4. Step 4: Simplify right side
    5,831.44x = 65,838,010.25
  5. Step 5: Solve for x
    x = 65,838,010.25/5,831.44
  6. Step 6: Final answer
    x = 11,290.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.