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Finding the Third Proportional to 6,697.69 and 10,278.14

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Solution

The third proportional to 6,697.69 and 10,278.14 is: 15,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.69 : 10,278.14 = 10,278.14 : x
  2. Step 2: Convert to fraction form
    6,697.69/10,278.14 = 10,278.14/x
  3. Step 3: Cross multiply
    6,697.69x = 10,278.14 × 10,278.14
  4. Step 4: Simplify right side
    6,697.69x = 105,640,174.71
  5. Step 5: Solve for x
    x = 105,640,174.71/6,697.69
  6. Step 6: Final answer
    x = 15,772.63

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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.