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Finding the Third Proportional to 25,136 and 33,216

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Solution

The third proportional to 25,136 and 33,216 is: 43,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,136 : 33,216 = 33,216 : x
  2. Step 2: Convert to fraction form
    25,136/33,216 = 33,216/x
  3. Step 3: Cross multiply
    25,136x = 33,216 × 33,216
  4. Step 4: Simplify right side
    25,136x = 1,103,302,656
  5. Step 5: Solve for x
    x = 1,103,302,656/25,136
  6. Step 6: Final answer
    x = 43,893.33

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.