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Finding the Third Proportional to 1,934.06 and 3,078.94

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Solution

The third proportional to 1,934.06 and 3,078.94 is: 4,901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.06 : 3,078.94 = 3,078.94 : x
  2. Step 2: Convert to fraction form
    1,934.06/3,078.94 = 3,078.94/x
  3. Step 3: Cross multiply
    1,934.06x = 3,078.94 × 3,078.94
  4. Step 4: Simplify right side
    1,934.06x = 9,479,856.13
  5. Step 5: Solve for x
    x = 9,479,856.13/1,934.06
  6. Step 6: Final answer
    x = 4,901.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.