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Finding the Third Proportional to 6,495.50 and 13,956.25

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Solution

The third proportional to 6,495.50 and 13,956.25 is: 29,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.50 : 13,956.25 = 13,956.25 : x
  2. Step 2: Convert to fraction form
    6,495.50/13,956.25 = 13,956.25/x
  3. Step 3: Cross multiply
    6,495.50x = 13,956.25 × 13,956.25
  4. Step 4: Simplify right side
    6,495.50x = 194,776,914.06
  5. Step 5: Solve for x
    x = 194,776,914.06/6,495.50
  6. Step 6: Final answer
    x = 29,986.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.