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Finding the Third Proportional to 5,351.06 and 7,997.06

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Solution

The third proportional to 5,351.06 and 7,997.06 is: 11,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.06 : 7,997.06 = 7,997.06 : x
  2. Step 2: Convert to fraction form
    5,351.06/7,997.06 = 7,997.06/x
  3. Step 3: Cross multiply
    5,351.06x = 7,997.06 × 7,997.06
  4. Step 4: Simplify right side
    5,351.06x = 63,953,008.63
  5. Step 5: Solve for x
    x = 63,953,008.63/5,351.06
  6. Step 6: Final answer
    x = 11,951.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.