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Finding the Third Proportional to 6,297.75 and 8,524.13

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Solution

The third proportional to 6,297.75 and 8,524.13 is: 11,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.75 : 8,524.13 = 8,524.13 : x
  2. Step 2: Convert to fraction form
    6,297.75/8,524.13 = 8,524.13/x
  3. Step 3: Cross multiply
    6,297.75x = 8,524.13 × 8,524.13
  4. Step 4: Simplify right side
    6,297.75x = 72,660,707.02
  5. Step 5: Solve for x
    x = 72,660,707.02/6,297.75
  6. Step 6: Final answer
    x = 11,537.57

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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.