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Finding the Third Proportional to 2,619.94 and 3,560.06

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Solution

The third proportional to 2,619.94 and 3,560.06 is: 4,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.94 : 3,560.06 = 3,560.06 : x
  2. Step 2: Convert to fraction form
    2,619.94/3,560.06 = 3,560.06/x
  3. Step 3: Cross multiply
    2,619.94x = 3,560.06 × 3,560.06
  4. Step 4: Simplify right side
    2,619.94x = 12,674,045.00
  5. Step 5: Solve for x
    x = 12,674,045.00/2,619.94
  6. Step 6: Final answer
    x = 4,837.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.