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Finding the Third Proportional to 8,105.06 and 9,968.06

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Solution

The third proportional to 8,105.06 and 9,968.06 is: 12,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.06 : 9,968.06 = 9,968.06 : x
  2. Step 2: Convert to fraction form
    8,105.06/9,968.06 = 9,968.06/x
  3. Step 3: Cross multiply
    8,105.06x = 9,968.06 × 9,968.06
  4. Step 4: Simplify right side
    8,105.06x = 99,362,270.00
  5. Step 5: Solve for x
    x = 99,362,270.00/8,105.06
  6. Step 6: Final answer
    x = 12,259.28

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.