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Finding the Third Proportional to 3,141 and 4,625.25

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Solution

The third proportional to 3,141 and 4,625.25 is: 6,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141 : 4,625.25 = 4,625.25 : x
  2. Step 2: Convert to fraction form
    3,141/4,625.25 = 4,625.25/x
  3. Step 3: Cross multiply
    3,141x = 4,625.25 × 4,625.25
  4. Step 4: Simplify right side
    3,141x = 21,392,937.56
  5. Step 5: Solve for x
    x = 21,392,937.56/3,141
  6. Step 6: Final answer
    x = 6,810.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.