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Finding the Third Proportional to 6,333.19 and 13,110.61

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Solution

The third proportional to 6,333.19 and 13,110.61 is: 27,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.19 : 13,110.61 = 13,110.61 : x
  2. Step 2: Convert to fraction form
    6,333.19/13,110.61 = 13,110.61/x
  3. Step 3: Cross multiply
    6,333.19x = 13,110.61 × 13,110.61
  4. Step 4: Simplify right side
    6,333.19x = 171,888,078.18
  5. Step 5: Solve for x
    x = 171,888,078.18/6,333.19
  6. Step 6: Final answer
    x = 27,140.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.