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Finding the Third Proportional to 6,096.75 and 13,356.75

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Solution

The third proportional to 6,096.75 and 13,356.75 is: 29,261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.75 : 13,356.75 = 13,356.75 : x
  2. Step 2: Convert to fraction form
    6,096.75/13,356.75 = 13,356.75/x
  3. Step 3: Cross multiply
    6,096.75x = 13,356.75 × 13,356.75
  4. Step 4: Simplify right side
    6,096.75x = 178,402,770.56
  5. Step 5: Solve for x
    x = 178,402,770.56/6,096.75
  6. Step 6: Final answer
    x = 29,261.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.