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Finding the Third Proportional to 5,607.56 and 8,168.06

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Solution

The third proportional to 5,607.56 and 8,168.06 is: 11,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.56 : 8,168.06 = 8,168.06 : x
  2. Step 2: Convert to fraction form
    5,607.56/8,168.06 = 8,168.06/x
  3. Step 3: Cross multiply
    5,607.56x = 8,168.06 × 8,168.06
  4. Step 4: Simplify right side
    5,607.56x = 66,717,245.00
  5. Step 5: Solve for x
    x = 66,717,245.00/5,607.56
  6. Step 6: Final answer
    x = 11,897.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.