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Finding the Third Proportional to 24,153.75 and 51,624.56

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Solution

The third proportional to 24,153.75 and 51,624.56 is: 110,338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,153.75 : 51,624.56 = 51,624.56 : x
  2. Step 2: Convert to fraction form
    24,153.75/51,624.56 = 51,624.56/x
  3. Step 3: Cross multiply
    24,153.75x = 51,624.56 × 51,624.56
  4. Step 4: Simplify right side
    24,153.75x = 2,665,095,453.32
  5. Step 5: Solve for x
    x = 2,665,095,453.32/24,153.75
  6. Step 6: Final answer
    x = 110,338.79

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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.