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Finding the Third Proportional to 2,755.13 and 4,028.06

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Solution

The third proportional to 2,755.13 and 4,028.06 is: 5,889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.13 : 4,028.06 = 4,028.06 : x
  2. Step 2: Convert to fraction form
    2,755.13/4,028.06 = 4,028.06/x
  3. Step 3: Cross multiply
    2,755.13x = 4,028.06 × 4,028.06
  4. Step 4: Simplify right side
    2,755.13x = 16,225,287.50
  5. Step 5: Solve for x
    x = 16,225,287.50/2,755.13
  6. Step 6: Final answer
    x = 5,889.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.