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Finding the Third Proportional to 6,047.79 and 8,212.64

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Solution

The third proportional to 6,047.79 and 8,212.64 is: 11,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.79 : 8,212.64 = 8,212.64 : x
  2. Step 2: Convert to fraction form
    6,047.79/8,212.64 = 8,212.64/x
  3. Step 3: Cross multiply
    6,047.79x = 8,212.64 × 8,212.64
  4. Step 4: Simplify right side
    6,047.79x = 67,447,466.04
  5. Step 5: Solve for x
    x = 67,447,466.04/6,047.79
  6. Step 6: Final answer
    x = 11,152.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.