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Finding the Third Proportional to 6,846.75 and 10,344.38

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Solution

The third proportional to 6,846.75 and 10,344.38 is: 15,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.75 : 10,344.38 = 10,344.38 : x
  2. Step 2: Convert to fraction form
    6,846.75/10,344.38 = 10,344.38/x
  3. Step 3: Cross multiply
    6,846.75x = 10,344.38 × 10,344.38
  4. Step 4: Simplify right side
    6,846.75x = 107,006,094.14
  5. Step 5: Solve for x
    x = 107,006,094.14/6,846.75
  6. Step 6: Final answer
    x = 15,628.74

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Why These Related Problems?

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