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Finding the Third Proportional to 26,064 and 37,136

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Solution

The third proportional to 26,064 and 37,136 is: 52,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,064 : 37,136 = 37,136 : x
  2. Step 2: Convert to fraction form
    26,064/37,136 = 37,136/x
  3. Step 3: Cross multiply
    26,064x = 37,136 × 37,136
  4. Step 4: Simplify right side
    26,064x = 1,379,082,496
  5. Step 5: Solve for x
    x = 1,379,082,496/26,064
  6. Step 6: Final answer
    x = 52,911.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.