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Finding the Third Proportional to 2,637 and 4,025.25

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Solution

The third proportional to 2,637 and 4,025.25 is: 6,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637 : 4,025.25 = 4,025.25 : x
  2. Step 2: Convert to fraction form
    2,637/4,025.25 = 4,025.25/x
  3. Step 3: Cross multiply
    2,637x = 4,025.25 × 4,025.25
  4. Step 4: Simplify right side
    2,637x = 16,202,637.56
  5. Step 5: Solve for x
    x = 16,202,637.56/2,637
  6. Step 6: Final answer
    x = 6,144.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.