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Finding the Third Proportional to 6,923 and 15,145

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Solution

The third proportional to 6,923 and 15,145 is: 33,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923 : 15,145 = 15,145 : x
  2. Step 2: Convert to fraction form
    6,923/15,145 = 15,145/x
  3. Step 3: Cross multiply
    6,923x = 15,145 × 15,145
  4. Step 4: Simplify right side
    6,923x = 229,371,025
  5. Step 5: Solve for x
    x = 229,371,025/6,923
  6. Step 6: Final answer
    x = 33,131.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.