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Finding the Third Proportional to 6,540.75 and 15,433.03

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Solution

The third proportional to 6,540.75 and 15,433.03 is: 36,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.75 : 15,433.03 = 15,433.03 : x
  2. Step 2: Convert to fraction form
    6,540.75/15,433.03 = 15,433.03/x
  3. Step 3: Cross multiply
    6,540.75x = 15,433.03 × 15,433.03
  4. Step 4: Simplify right side
    6,540.75x = 238,178,453.56
  5. Step 5: Solve for x
    x = 238,178,453.56/6,540.75
  6. Step 6: Final answer
    x = 36,414.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.