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Finding the Third Proportional to 2,224.13 and 3,056.06

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Solution

The third proportional to 2,224.13 and 3,056.06 is: 4,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.13 : 3,056.06 = 3,056.06 : x
  2. Step 2: Convert to fraction form
    2,224.13/3,056.06 = 3,056.06/x
  3. Step 3: Cross multiply
    2,224.13x = 3,056.06 × 3,056.06
  4. Step 4: Simplify right side
    2,224.13x = 9,339,518.00
  5. Step 5: Solve for x
    x = 9,339,518.00/2,224.13
  6. Step 6: Final answer
    x = 4,199.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.