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Finding the Third Proportional to 2,619.38 and 3,929.06

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Solution

The third proportional to 2,619.38 and 3,929.06 is: 5,893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.38 : 3,929.06 = 3,929.06 : x
  2. Step 2: Convert to fraction form
    2,619.38/3,929.06 = 3,929.06/x
  3. Step 3: Cross multiply
    2,619.38x = 3,929.06 × 3,929.06
  4. Step 4: Simplify right side
    2,619.38x = 15,437,532.13
  5. Step 5: Solve for x
    x = 15,437,532.13/2,619.38
  6. Step 6: Final answer
    x = 5,893.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.