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Finding the Third Proportional to 5,351.06 and 8,512.59

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Solution

The third proportional to 5,351.06 and 8,512.59 is: 13,542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.06 : 8,512.59 = 8,512.59 : x
  2. Step 2: Convert to fraction form
    5,351.06/8,512.59 = 8,512.59/x
  3. Step 3: Cross multiply
    5,351.06x = 8,512.59 × 8,512.59
  4. Step 4: Simplify right side
    5,351.06x = 72,464,252.35
  5. Step 5: Solve for x
    x = 72,464,252.35/5,351.06
  6. Step 6: Final answer
    x = 13,542.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.