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Finding the Third Proportional to 16,136 and 35,008

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Solution

The third proportional to 16,136 and 35,008 is: 75,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136 : 35,008 = 35,008 : x
  2. Step 2: Convert to fraction form
    16,136/35,008 = 35,008/x
  3. Step 3: Cross multiply
    16,136x = 35,008 × 35,008
  4. Step 4: Simplify right side
    16,136x = 1,225,560,064
  5. Step 5: Solve for x
    x = 1,225,560,064/16,136
  6. Step 6: Final answer
    x = 75,951.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.