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Finding the Third Proportional to 3,143.25 and 4,715.25

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Solution

The third proportional to 3,143.25 and 4,715.25 is: 7,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.25 : 4,715.25 = 4,715.25 : x
  2. Step 2: Convert to fraction form
    3,143.25/4,715.25 = 4,715.25/x
  3. Step 3: Cross multiply
    3,143.25x = 4,715.25 × 4,715.25
  4. Step 4: Simplify right side
    3,143.25x = 22,233,582.56
  5. Step 5: Solve for x
    x = 22,233,582.56/3,143.25
  6. Step 6: Final answer
    x = 7,073.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.