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Finding the Third Proportional to 5,994.75 and 14,001.75

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Solution

The third proportional to 5,994.75 and 14,001.75 is: 32,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.75 : 14,001.75 = 14,001.75 : x
  2. Step 2: Convert to fraction form
    5,994.75/14,001.75 = 14,001.75/x
  3. Step 3: Cross multiply
    5,994.75x = 14,001.75 × 14,001.75
  4. Step 4: Simplify right side
    5,994.75x = 196,049,003.06
  5. Step 5: Solve for x
    x = 196,049,003.06/5,994.75
  6. Step 6: Final answer
    x = 32,703.45

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.