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Finding the Third Proportional to 8,052.75 and 12,319.31

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Solution

The third proportional to 8,052.75 and 12,319.31 is: 18,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.75 : 12,319.31 = 12,319.31 : x
  2. Step 2: Convert to fraction form
    8,052.75/12,319.31 = 12,319.31/x
  3. Step 3: Cross multiply
    8,052.75x = 12,319.31 × 12,319.31
  4. Step 4: Simplify right side
    8,052.75x = 151,765,460.47
  5. Step 5: Solve for x
    x = 151,765,460.47/8,052.75
  6. Step 6: Final answer
    x = 18,846.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.