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Finding the Third Proportional to 5,844.06 and 8,220.09

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Solution

The third proportional to 5,844.06 and 8,220.09 is: 11,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.06 : 8,220.09 = 8,220.09 : x
  2. Step 2: Convert to fraction form
    5,844.06/8,220.09 = 8,220.09/x
  3. Step 3: Cross multiply
    5,844.06x = 8,220.09 × 8,220.09
  4. Step 4: Simplify right side
    5,844.06x = 67,569,941.26
  5. Step 5: Solve for x
    x = 67,569,941.26/5,844.06
  6. Step 6: Final answer
    x = 11,562.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.