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Finding the Third Proportional to 22,809.73 and 48,992.98

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Solution

The third proportional to 22,809.73 and 48,992.98 is: 105,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.73 : 48,992.98 = 48,992.98 : x
  2. Step 2: Convert to fraction form
    22,809.73/48,992.98 = 48,992.98/x
  3. Step 3: Cross multiply
    22,809.73x = 48,992.98 × 48,992.98
  4. Step 4: Simplify right side
    22,809.73x = 2,400,311,752.45
  5. Step 5: Solve for x
    x = 2,400,311,752.45/22,809.73
  6. Step 6: Final answer
    x = 105,231.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.