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Finding the Third Proportional to 10,077.75 and 21,831.19

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Solution

The third proportional to 10,077.75 and 21,831.19 is: 47,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.75 : 21,831.19 = 21,831.19 : x
  2. Step 2: Convert to fraction form
    10,077.75/21,831.19 = 21,831.19/x
  3. Step 3: Cross multiply
    10,077.75x = 21,831.19 × 21,831.19
  4. Step 4: Simplify right side
    10,077.75x = 476,600,747.66
  5. Step 5: Solve for x
    x = 476,600,747.66/10,077.75
  6. Step 6: Final answer
    x = 47,292.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.