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Finding the Third Proportional to 2,071.83 and 4,811.27

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Solution

The third proportional to 2,071.83 and 4,811.27 is: 11,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.83 : 4,811.27 = 4,811.27 : x
  2. Step 2: Convert to fraction form
    2,071.83/4,811.27 = 4,811.27/x
  3. Step 3: Cross multiply
    2,071.83x = 4,811.27 × 4,811.27
  4. Step 4: Simplify right side
    2,071.83x = 23,148,352.09
  5. Step 5: Solve for x
    x = 23,148,352.09/2,071.83
  6. Step 6: Final answer
    x = 11,172.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.