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Finding the Third Proportional to 12,412 and 16,278

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Solution

The third proportional to 12,412 and 16,278 is: 21,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412 : 16,278 = 16,278 : x
  2. Step 2: Convert to fraction form
    12,412/16,278 = 16,278/x
  3. Step 3: Cross multiply
    12,412x = 16,278 × 16,278
  4. Step 4: Simplify right side
    12,412x = 264,973,284
  5. Step 5: Solve for x
    x = 264,973,284/12,412
  6. Step 6: Final answer
    x = 21,348.15

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.