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Finding the Third Proportional to 5,758.50 and 11,927

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Solution

The third proportional to 5,758.50 and 11,927 is: 24,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.50 : 11,927 = 11,927 : x
  2. Step 2: Convert to fraction form
    5,758.50/11,927 = 11,927/x
  3. Step 3: Cross multiply
    5,758.50x = 11,927 × 11,927
  4. Step 4: Simplify right side
    5,758.50x = 142,253,329
  5. Step 5: Solve for x
    x = 142,253,329/5,758.50
  6. Step 6: Final answer
    x = 24,703.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.