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Finding the Third Proportional to 6,230.25 and 8,393.25

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Solution

The third proportional to 6,230.25 and 8,393.25 is: 11,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.25 : 8,393.25 = 8,393.25 : x
  2. Step 2: Convert to fraction form
    6,230.25/8,393.25 = 8,393.25/x
  3. Step 3: Cross multiply
    6,230.25x = 8,393.25 × 8,393.25
  4. Step 4: Simplify right side
    6,230.25x = 70,446,645.56
  5. Step 5: Solve for x
    x = 70,446,645.56/6,230.25
  6. Step 6: Final answer
    x = 11,307.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.