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Finding the Third Proportional to 6,840.07 and 10,309.46

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Solution

The third proportional to 6,840.07 and 10,309.46 is: 15,538.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.07 : 10,309.46 = 10,309.46 : x
  2. Step 2: Convert to fraction form
    6,840.07/10,309.46 = 10,309.46/x
  3. Step 3: Cross multiply
    6,840.07x = 10,309.46 × 10,309.46
  4. Step 4: Simplify right side
    6,840.07x = 106,285,065.36
  5. Step 5: Solve for x
    x = 106,285,065.36/6,840.07
  6. Step 6: Final answer
    x = 15,538.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.