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Finding the Third Proportional to 12,414 and 25,278

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Solution

The third proportional to 12,414 and 25,278 is: 51,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414 : 25,278 = 25,278 : x
  2. Step 2: Convert to fraction form
    12,414/25,278 = 25,278/x
  3. Step 3: Cross multiply
    12,414x = 25,278 × 25,278
  4. Step 4: Simplify right side
    12,414x = 638,977,284
  5. Step 5: Solve for x
    x = 638,977,284/12,414
  6. Step 6: Final answer
    x = 51,472.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.