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Finding the Third Proportional to 3,161.95 and 4,725.42

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Solution

The third proportional to 3,161.95 and 4,725.42 is: 7,061.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.95 : 4,725.42 = 4,725.42 : x
  2. Step 2: Convert to fraction form
    3,161.95/4,725.42 = 4,725.42/x
  3. Step 3: Cross multiply
    3,161.95x = 4,725.42 × 4,725.42
  4. Step 4: Simplify right side
    3,161.95x = 22,329,611.90
  5. Step 5: Solve for x
    x = 22,329,611.90/3,161.95
  6. Step 6: Final answer
    x = 7,061.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.