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Finding the Third Proportional to 15,270.75 and 23,199.75

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Solution

The third proportional to 15,270.75 and 23,199.75 is: 35,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,270.75 : 23,199.75 = 23,199.75 : x
  2. Step 2: Convert to fraction form
    15,270.75/23,199.75 = 23,199.75/x
  3. Step 3: Cross multiply
    15,270.75x = 23,199.75 × 23,199.75
  4. Step 4: Simplify right side
    15,270.75x = 538,228,400.06
  5. Step 5: Solve for x
    x = 538,228,400.06/15,270.75
  6. Step 6: Final answer
    x = 35,245.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.