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Finding the Third Proportional to 3,265 and 7,136

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Solution

The third proportional to 3,265 and 7,136 is: 15,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265 : 7,136 = 7,136 : x
  2. Step 2: Convert to fraction form
    3,265/7,136 = 7,136/x
  3. Step 3: Cross multiply
    3,265x = 7,136 × 7,136
  4. Step 4: Simplify right side
    3,265x = 50,922,496
  5. Step 5: Solve for x
    x = 50,922,496/3,265
  6. Step 6: Final answer
    x = 15,596.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.