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Finding the Third Proportional to 23,821.59 and 50,805.98

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Solution

The third proportional to 23,821.59 and 50,805.98 is: 108,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.59 : 50,805.98 = 50,805.98 : x
  2. Step 2: Convert to fraction form
    23,821.59/50,805.98 = 50,805.98/x
  3. Step 3: Cross multiply
    23,821.59x = 50,805.98 × 50,805.98
  4. Step 4: Simplify right side
    23,821.59x = 2,581,248,048.31
  5. Step 5: Solve for x
    x = 2,581,248,048.31/23,821.59
  6. Step 6: Final answer
    x = 108,357.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.