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Finding the Third Proportional to 25,820 and 36,361

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Solution

The third proportional to 25,820 and 36,361 is: 51,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,820 : 36,361 = 36,361 : x
  2. Step 2: Convert to fraction form
    25,820/36,361 = 36,361/x
  3. Step 3: Cross multiply
    25,820x = 36,361 × 36,361
  4. Step 4: Simplify right side
    25,820x = 1,322,122,321
  5. Step 5: Solve for x
    x = 1,322,122,321/25,820
  6. Step 6: Final answer
    x = 51,205.36

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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.