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Finding the Third Proportional to 21,986.44 and 47,393.86

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Solution

The third proportional to 21,986.44 and 47,393.86 is: 102,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986.44 : 47,393.86 = 47,393.86 : x
  2. Step 2: Convert to fraction form
    21,986.44/47,393.86 = 47,393.86/x
  3. Step 3: Cross multiply
    21,986.44x = 47,393.86 × 47,393.86
  4. Step 4: Simplify right side
    21,986.44x = 2,246,177,906.46
  5. Step 5: Solve for x
    x = 2,246,177,906.46/21,986.44
  6. Step 6: Final answer
    x = 102,161.98

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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.