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Finding the Third Proportional to 6,738.75 and 10,330.88

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Solution

The third proportional to 6,738.75 and 10,330.88 is: 15,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.75 : 10,330.88 = 10,330.88 : x
  2. Step 2: Convert to fraction form
    6,738.75/10,330.88 = 10,330.88/x
  3. Step 3: Cross multiply
    6,738.75x = 10,330.88 × 10,330.88
  4. Step 4: Simplify right side
    6,738.75x = 106,726,978.27
  5. Step 5: Solve for x
    x = 106,726,978.27/6,738.75
  6. Step 6: Final answer
    x = 15,837.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.