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Finding the Third Proportional to 1,863.38 and 3,060.94

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Solution

The third proportional to 1,863.38 and 3,060.94 is: 5,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.38 : 3,060.94 = 3,060.94 : x
  2. Step 2: Convert to fraction form
    1,863.38/3,060.94 = 3,060.94/x
  3. Step 3: Cross multiply
    1,863.38x = 3,060.94 × 3,060.94
  4. Step 4: Simplify right side
    1,863.38x = 9,369,338.38
  5. Step 5: Solve for x
    x = 9,369,338.38/1,863.38
  6. Step 6: Final answer
    x = 5,028.16

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.