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Finding the Third Proportional to 25,976 and 36,752

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Solution

The third proportional to 25,976 and 36,752 is: 51,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,976 : 36,752 = 36,752 : x
  2. Step 2: Convert to fraction form
    25,976/36,752 = 36,752/x
  3. Step 3: Cross multiply
    25,976x = 36,752 × 36,752
  4. Step 4: Simplify right side
    25,976x = 1,350,709,504
  5. Step 5: Solve for x
    x = 1,350,709,504/25,976
  6. Step 6: Final answer
    x = 51,998.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.