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Finding the Third Proportional to 52,817 and 71,936

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Solution

The third proportional to 52,817 and 71,936 is: 97,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,817 : 71,936 = 71,936 : x
  2. Step 2: Convert to fraction form
    52,817/71,936 = 71,936/x
  3. Step 3: Cross multiply
    52,817x = 71,936 × 71,936
  4. Step 4: Simplify right side
    52,817x = 5,174,788,096
  5. Step 5: Solve for x
    x = 5,174,788,096/52,817
  6. Step 6: Final answer
    x = 97,975.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.