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Finding the Third Proportional to 1,823.92 and 3,942.58

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Solution

The third proportional to 1,823.92 and 3,942.58 is: 8,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.92 : 3,942.58 = 3,942.58 : x
  2. Step 2: Convert to fraction form
    1,823.92/3,942.58 = 3,942.58/x
  3. Step 3: Cross multiply
    1,823.92x = 3,942.58 × 3,942.58
  4. Step 4: Simplify right side
    1,823.92x = 15,543,937.67
  5. Step 5: Solve for x
    x = 15,543,937.67/1,823.92
  6. Step 6: Final answer
    x = 8,522.25

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Why These Related Problems?

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