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Finding the Third Proportional to 2,543.67 and 3,831.52

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Solution

The third proportional to 2,543.67 and 3,831.52 is: 5,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.67 : 3,831.52 = 3,831.52 : x
  2. Step 2: Convert to fraction form
    2,543.67/3,831.52 = 3,831.52/x
  3. Step 3: Cross multiply
    2,543.67x = 3,831.52 × 3,831.52
  4. Step 4: Simplify right side
    2,543.67x = 14,680,556.89
  5. Step 5: Solve for x
    x = 14,680,556.89/2,543.67
  6. Step 6: Final answer
    x = 5,771.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.