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Finding the Third Proportional to 24,196.50 and 36,537.75

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Solution

The third proportional to 24,196.50 and 36,537.75 is: 55,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196.50 : 36,537.75 = 36,537.75 : x
  2. Step 2: Convert to fraction form
    24,196.50/36,537.75 = 36,537.75/x
  3. Step 3: Cross multiply
    24,196.50x = 36,537.75 × 36,537.75
  4. Step 4: Simplify right side
    24,196.50x = 1,335,007,175.06
  5. Step 5: Solve for x
    x = 1,335,007,175.06/24,196.50
  6. Step 6: Final answer
    x = 55,173.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.