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Finding the Third Proportional to 2,579.98 and 5,570.02

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Solution

The third proportional to 2,579.98 and 5,570.02 is: 12,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.98 : 5,570.02 = 5,570.02 : x
  2. Step 2: Convert to fraction form
    2,579.98/5,570.02 = 5,570.02/x
  3. Step 3: Cross multiply
    2,579.98x = 5,570.02 × 5,570.02
  4. Step 4: Simplify right side
    2,579.98x = 31,025,074.06
  5. Step 5: Solve for x
    x = 31,025,074.06/2,579.98
  6. Step 6: Final answer
    x = 12,025.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.