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Finding the Third Proportional to 6,615 and 9,739.13

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Solution

The third proportional to 6,615 and 9,739.13 is: 14,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615 : 9,739.13 = 9,739.13 : x
  2. Step 2: Convert to fraction form
    6,615/9,739.13 = 9,739.13/x
  3. Step 3: Cross multiply
    6,615x = 9,739.13 × 9,739.13
  4. Step 4: Simplify right side
    6,615x = 94,850,555.77
  5. Step 5: Solve for x
    x = 94,850,555.77/6,615
  6. Step 6: Final answer
    x = 14,338.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.