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Finding the Third Proportional to 1,942.13 and 3,076.69

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Solution

The third proportional to 1,942.13 and 3,076.69 is: 4,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.13 : 3,076.69 = 3,076.69 : x
  2. Step 2: Convert to fraction form
    1,942.13/3,076.69 = 3,076.69/x
  3. Step 3: Cross multiply
    1,942.13x = 3,076.69 × 3,076.69
  4. Step 4: Simplify right side
    1,942.13x = 9,466,005.97
  5. Step 5: Solve for x
    x = 9,466,005.97/1,942.13
  6. Step 6: Final answer
    x = 4,874.05

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.