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Finding the Third Proportional to 4,664.81 and 10,081.69

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Solution

The third proportional to 4,664.81 and 10,081.69 is: 21,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.81 : 10,081.69 = 10,081.69 : x
  2. Step 2: Convert to fraction form
    4,664.81/10,081.69 = 10,081.69/x
  3. Step 3: Cross multiply
    4,664.81x = 10,081.69 × 10,081.69
  4. Step 4: Simplify right side
    4,664.81x = 101,640,422.85
  5. Step 5: Solve for x
    x = 101,640,422.85/4,664.81
  6. Step 6: Final answer
    x = 21,788.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.