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Finding the Third Proportional to 2,083.50 and 4,971.75

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Solution

The third proportional to 2,083.50 and 4,971.75 is: 11,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.50 : 4,971.75 = 4,971.75 : x
  2. Step 2: Convert to fraction form
    2,083.50/4,971.75 = 4,971.75/x
  3. Step 3: Cross multiply
    2,083.50x = 4,971.75 × 4,971.75
  4. Step 4: Simplify right side
    2,083.50x = 24,718,298.06
  5. Step 5: Solve for x
    x = 24,718,298.06/2,083.50
  6. Step 6: Final answer
    x = 11,863.83

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.