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Finding the Third Proportional to 2,572.88 and 4,112.44

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Solution

The third proportional to 2,572.88 and 4,112.44 is: 6,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.88 : 4,112.44 = 4,112.44 : x
  2. Step 2: Convert to fraction form
    2,572.88/4,112.44 = 4,112.44/x
  3. Step 3: Cross multiply
    2,572.88x = 4,112.44 × 4,112.44
  4. Step 4: Simplify right side
    2,572.88x = 16,912,142.19
  5. Step 5: Solve for x
    x = 16,912,142.19/2,572.88
  6. Step 6: Final answer
    x = 6,573.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.