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Finding the Third Proportional to 2,136.70 and 3,233.53

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Solution

The third proportional to 2,136.70 and 3,233.53 is: 4,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.70 : 3,233.53 = 3,233.53 : x
  2. Step 2: Convert to fraction form
    2,136.70/3,233.53 = 3,233.53/x
  3. Step 3: Cross multiply
    2,136.70x = 3,233.53 × 3,233.53
  4. Step 4: Simplify right side
    2,136.70x = 10,455,724.34
  5. Step 5: Solve for x
    x = 10,455,724.34/2,136.70
  6. Step 6: Final answer
    x = 4,893.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.