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Finding the Third Proportional to 10,786 and 16,278

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Solution

The third proportional to 10,786 and 16,278 is: 24,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786 : 16,278 = 16,278 : x
  2. Step 2: Convert to fraction form
    10,786/16,278 = 16,278/x
  3. Step 3: Cross multiply
    10,786x = 16,278 × 16,278
  4. Step 4: Simplify right side
    10,786x = 264,973,284
  5. Step 5: Solve for x
    x = 264,973,284/10,786
  6. Step 6: Final answer
    x = 24,566.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.