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Finding the Third Proportional to 5,999.06 and 9,282.09

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Solution

The third proportional to 5,999.06 and 9,282.09 is: 14,361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.06 : 9,282.09 = 9,282.09 : x
  2. Step 2: Convert to fraction form
    5,999.06/9,282.09 = 9,282.09/x
  3. Step 3: Cross multiply
    5,999.06x = 9,282.09 × 9,282.09
  4. Step 4: Simplify right side
    5,999.06x = 86,157,264.38
  5. Step 5: Solve for x
    x = 86,157,264.38/5,999.06
  6. Step 6: Final answer
    x = 14,361.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.