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Finding the Third Proportional to 6,597.50 and 14,004.75

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Solution

The third proportional to 6,597.50 and 14,004.75 is: 29,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.50 : 14,004.75 = 14,004.75 : x
  2. Step 2: Convert to fraction form
    6,597.50/14,004.75 = 14,004.75/x
  3. Step 3: Cross multiply
    6,597.50x = 14,004.75 × 14,004.75
  4. Step 4: Simplify right side
    6,597.50x = 196,133,022.56
  5. Step 5: Solve for x
    x = 196,133,022.56/6,597.50
  6. Step 6: Final answer
    x = 29,728.39

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.