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Finding the Third Proportional to 24,313.50 and 51,995.25

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Solution

The third proportional to 24,313.50 and 51,995.25 is: 111,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.50 : 51,995.25 = 51,995.25 : x
  2. Step 2: Convert to fraction form
    24,313.50/51,995.25 = 51,995.25/x
  3. Step 3: Cross multiply
    24,313.50x = 51,995.25 × 51,995.25
  4. Step 4: Simplify right side
    24,313.50x = 2,703,506,022.56
  5. Step 5: Solve for x
    x = 2,703,506,022.56/24,313.50
  6. Step 6: Final answer
    x = 111,193.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.