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Finding the Third Proportional to 2,706.19 and 5,321.81

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Solution

The third proportional to 2,706.19 and 5,321.81 is: 10,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.19 : 5,321.81 = 5,321.81 : x
  2. Step 2: Convert to fraction form
    2,706.19/5,321.81 = 5,321.81/x
  3. Step 3: Cross multiply
    2,706.19x = 5,321.81 × 5,321.81
  4. Step 4: Simplify right side
    2,706.19x = 28,321,688.29
  5. Step 5: Solve for x
    x = 28,321,688.29/2,706.19
  6. Step 6: Final answer
    x = 10,465.53

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.