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Finding the Third Proportional to 1,158.05 and 2,583.77

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Solution

The third proportional to 1,158.05 and 2,583.77 is: 5,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.05 : 2,583.77 = 2,583.77 : x
  2. Step 2: Convert to fraction form
    1,158.05/2,583.77 = 2,583.77/x
  3. Step 3: Cross multiply
    1,158.05x = 2,583.77 × 2,583.77
  4. Step 4: Simplify right side
    1,158.05x = 6,675,885.18
  5. Step 5: Solve for x
    x = 6,675,885.18/1,158.05
  6. Step 6: Final answer
    x = 5,764.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.