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Finding the Third Proportional to 8,514 and 10,770.75

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Solution

The third proportional to 8,514 and 10,770.75 is: 13,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514 : 10,770.75 = 10,770.75 : x
  2. Step 2: Convert to fraction form
    8,514/10,770.75 = 10,770.75/x
  3. Step 3: Cross multiply
    8,514x = 10,770.75 × 10,770.75
  4. Step 4: Simplify right side
    8,514x = 116,009,055.56
  5. Step 5: Solve for x
    x = 116,009,055.56/8,514
  6. Step 6: Final answer
    x = 13,625.68

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.