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Finding the Third Proportional to 1,823.92 and 3,881.71

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Solution

The third proportional to 1,823.92 and 3,881.71 is: 8,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.92 : 3,881.71 = 3,881.71 : x
  2. Step 2: Convert to fraction form
    1,823.92/3,881.71 = 3,881.71/x
  3. Step 3: Cross multiply
    1,823.92x = 3,881.71 × 3,881.71
  4. Step 4: Simplify right side
    1,823.92x = 15,067,683.59
  5. Step 5: Solve for x
    x = 15,067,683.59/1,823.92
  6. Step 6: Final answer
    x = 8,261.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.