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Finding the Third Proportional to 2,570.06 and 4,247.44

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Solution

The third proportional to 2,570.06 and 4,247.44 is: 7,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.06 : 4,247.44 = 4,247.44 : x
  2. Step 2: Convert to fraction form
    2,570.06/4,247.44 = 4,247.44/x
  3. Step 3: Cross multiply
    2,570.06x = 4,247.44 × 4,247.44
  4. Step 4: Simplify right side
    2,570.06x = 18,040,725.32
  5. Step 5: Solve for x
    x = 18,040,725.32/2,570.06
  6. Step 6: Final answer
    x = 7,019.57

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.