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Finding the Third Proportional to 5,543.75 and 11,966.75

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Solution

The third proportional to 5,543.75 and 11,966.75 is: 25,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.75 : 11,966.75 = 11,966.75 : x
  2. Step 2: Convert to fraction form
    5,543.75/11,966.75 = 11,966.75/x
  3. Step 3: Cross multiply
    5,543.75x = 11,966.75 × 11,966.75
  4. Step 4: Simplify right side
    5,543.75x = 143,203,105.56
  5. Step 5: Solve for x
    x = 143,203,105.56/5,543.75
  6. Step 6: Final answer
    x = 25,831.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.