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Finding the Third Proportional to 5,923.13 and 6,583.78

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Solution

The third proportional to 5,923.13 and 6,583.78 is: 7,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.13 : 6,583.78 = 6,583.78 : x
  2. Step 2: Convert to fraction form
    5,923.13/6,583.78 = 6,583.78/x
  3. Step 3: Cross multiply
    5,923.13x = 6,583.78 × 6,583.78
  4. Step 4: Simplify right side
    5,923.13x = 43,346,175.55
  5. Step 5: Solve for x
    x = 43,346,175.55/5,923.13
  6. Step 6: Final answer
    x = 7,318.13

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.