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Finding the Third Proportional to 19,769.75 and 41,831.75

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Solution

The third proportional to 19,769.75 and 41,831.75 is: 88,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769.75 : 41,831.75 = 41,831.75 : x
  2. Step 2: Convert to fraction form
    19,769.75/41,831.75 = 41,831.75/x
  3. Step 3: Cross multiply
    19,769.75x = 41,831.75 × 41,831.75
  4. Step 4: Simplify right side
    19,769.75x = 1,749,895,308.06
  5. Step 5: Solve for x
    x = 1,749,895,308.06/19,769.75
  6. Step 6: Final answer
    x = 88,513.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.