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Finding the Third Proportional to 17,372.25 and 24,599.25

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Solution

The third proportional to 17,372.25 and 24,599.25 is: 34,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,372.25 : 24,599.25 = 24,599.25 : x
  2. Step 2: Convert to fraction form
    17,372.25/24,599.25 = 24,599.25/x
  3. Step 3: Cross multiply
    17,372.25x = 24,599.25 × 24,599.25
  4. Step 4: Simplify right side
    17,372.25x = 605,123,100.56
  5. Step 5: Solve for x
    x = 605,123,100.56/17,372.25
  6. Step 6: Final answer
    x = 34,832.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.