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Finding the Third Proportional to 2,571.75 and 5,325.19

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Solution

The third proportional to 2,571.75 and 5,325.19 is: 11,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.75 : 5,325.19 = 5,325.19 : x
  2. Step 2: Convert to fraction form
    2,571.75/5,325.19 = 5,325.19/x
  3. Step 3: Cross multiply
    2,571.75x = 5,325.19 × 5,325.19
  4. Step 4: Simplify right side
    2,571.75x = 28,357,621.91
  5. Step 5: Solve for x
    x = 28,357,621.91/2,571.75
  6. Step 6: Final answer
    x = 11,026.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.