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Finding the Third Proportional to 8,793.56 and 13,714.31

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Solution

The third proportional to 8,793.56 and 13,714.31 is: 21,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,793.56 : 13,714.31 = 13,714.31 : x
  2. Step 2: Convert to fraction form
    8,793.56/13,714.31 = 13,714.31/x
  3. Step 3: Cross multiply
    8,793.56x = 13,714.31 × 13,714.31
  4. Step 4: Simplify right side
    8,793.56x = 188,082,367.35
  5. Step 5: Solve for x
    x = 188,082,367.35/8,793.56
  6. Step 6: Final answer
    x = 21,388.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.