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Finding the Third Proportional to 6,604.88 and 9,873.56

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Solution

The third proportional to 6,604.88 and 9,873.56 is: 14,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604.88 : 9,873.56 = 9,873.56 : x
  2. Step 2: Convert to fraction form
    6,604.88/9,873.56 = 9,873.56/x
  3. Step 3: Cross multiply
    6,604.88x = 9,873.56 × 9,873.56
  4. Step 4: Simplify right side
    6,604.88x = 97,487,236.44
  5. Step 5: Solve for x
    x = 97,487,236.44/6,604.88
  6. Step 6: Final answer
    x = 14,759.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.