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Finding the Third Proportional to 3,364.50 and 6,182.25

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Solution

The third proportional to 3,364.50 and 6,182.25 is: 11,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.50 : 6,182.25 = 6,182.25 : x
  2. Step 2: Convert to fraction form
    3,364.50/6,182.25 = 6,182.25/x
  3. Step 3: Cross multiply
    3,364.50x = 6,182.25 × 6,182.25
  4. Step 4: Simplify right side
    3,364.50x = 38,220,215.06
  5. Step 5: Solve for x
    x = 38,220,215.06/3,364.50
  6. Step 6: Final answer
    x = 11,359.85

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.