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Finding the Third Proportional to 3,136.50 and 4,859.44

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Solution

The third proportional to 3,136.50 and 4,859.44 is: 7,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.50 : 4,859.44 = 4,859.44 : x
  2. Step 2: Convert to fraction form
    3,136.50/4,859.44 = 4,859.44/x
  3. Step 3: Cross multiply
    3,136.50x = 4,859.44 × 4,859.44
  4. Step 4: Simplify right side
    3,136.50x = 23,614,132.82
  5. Step 5: Solve for x
    x = 23,614,132.82/3,136.50
  6. Step 6: Final answer
    x = 7,528.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.