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Finding the Third Proportional to 8,014 and 17,136

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Solution

The third proportional to 8,014 and 17,136 is: 36,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014 : 17,136 = 17,136 : x
  2. Step 2: Convert to fraction form
    8,014/17,136 = 17,136/x
  3. Step 3: Cross multiply
    8,014x = 17,136 × 17,136
  4. Step 4: Simplify right side
    8,014x = 293,642,496
  5. Step 5: Solve for x
    x = 293,642,496/8,014
  6. Step 6: Final answer
    x = 36,641.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.