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Finding the Third Proportional to 24,141 and 50,995.50

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Solution

The third proportional to 24,141 and 50,995.50 is: 107,723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,141 : 50,995.50 = 50,995.50 : x
  2. Step 2: Convert to fraction form
    24,141/50,995.50 = 50,995.50/x
  3. Step 3: Cross multiply
    24,141x = 50,995.50 × 50,995.50
  4. Step 4: Simplify right side
    24,141x = 2,600,541,020.25
  5. Step 5: Solve for x
    x = 2,600,541,020.25/24,141
  6. Step 6: Final answer
    x = 107,723.00

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.