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Finding the Third Proportional to 25,136 and 52,855

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Solution

The third proportional to 25,136 and 52,855 is: 111,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,136 : 52,855 = 52,855 : x
  2. Step 2: Convert to fraction form
    25,136/52,855 = 52,855/x
  3. Step 3: Cross multiply
    25,136x = 52,855 × 52,855
  4. Step 4: Simplify right side
    25,136x = 2,793,651,025
  5. Step 5: Solve for x
    x = 2,793,651,025/25,136
  6. Step 6: Final answer
    x = 111,141.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.