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Finding the Third Proportional to 24,136 and 35,992

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Solution

The third proportional to 24,136 and 35,992 is: 53,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,136 : 35,992 = 35,992 : x
  2. Step 2: Convert to fraction form
    24,136/35,992 = 35,992/x
  3. Step 3: Cross multiply
    24,136x = 35,992 × 35,992
  4. Step 4: Simplify right side
    24,136x = 1,295,424,064
  5. Step 5: Solve for x
    x = 1,295,424,064/24,136
  6. Step 6: Final answer
    x = 53,671.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.