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Finding the Third Proportional to 25,261 and 39,278

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Solution

The third proportional to 25,261 and 39,278 is: 61,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,261 : 39,278 = 39,278 : x
  2. Step 2: Convert to fraction form
    25,261/39,278 = 39,278/x
  3. Step 3: Cross multiply
    25,261x = 39,278 × 39,278
  4. Step 4: Simplify right side
    25,261x = 1,542,761,284
  5. Step 5: Solve for x
    x = 1,542,761,284/25,261
  6. Step 6: Final answer
    x = 61,072.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.