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Finding the Third Proportional to 10,173.75 and 24,504.75

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Solution

The third proportional to 10,173.75 and 24,504.75 is: 59,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.75 : 24,504.75 = 24,504.75 : x
  2. Step 2: Convert to fraction form
    10,173.75/24,504.75 = 24,504.75/x
  3. Step 3: Cross multiply
    10,173.75x = 24,504.75 × 24,504.75
  4. Step 4: Simplify right side
    10,173.75x = 600,482,772.56
  5. Step 5: Solve for x
    x = 600,482,772.56/10,173.75
  6. Step 6: Final answer
    x = 59,022.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.