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Finding the Third Proportional to 22,006.69 and 48,166.31

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Solution

The third proportional to 22,006.69 and 48,166.31 is: 105,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006.69 : 48,166.31 = 48,166.31 : x
  2. Step 2: Convert to fraction form
    22,006.69/48,166.31 = 48,166.31/x
  3. Step 3: Cross multiply
    22,006.69x = 48,166.31 × 48,166.31
  4. Step 4: Simplify right side
    22,006.69x = 2,319,993,659.85
  5. Step 5: Solve for x
    x = 2,319,993,659.85/22,006.69
  6. Step 6: Final answer
    x = 105,422.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.