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Finding the Third Proportional to 22,879.97 and 47,172.38

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Solution

The third proportional to 22,879.97 and 47,172.38 is: 97,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,879.97 : 47,172.38 = 47,172.38 : x
  2. Step 2: Convert to fraction form
    22,879.97/47,172.38 = 47,172.38/x
  3. Step 3: Cross multiply
    22,879.97x = 47,172.38 × 47,172.38
  4. Step 4: Simplify right side
    22,879.97x = 2,225,232,963.14
  5. Step 5: Solve for x
    x = 2,225,232,963.14/22,879.97
  6. Step 6: Final answer
    x = 97,256.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.