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Finding the Third Proportional to 7,247 and 10,338

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Solution

The third proportional to 7,247 and 10,338 is: 14,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247 : 10,338 = 10,338 : x
  2. Step 2: Convert to fraction form
    7,247/10,338 = 10,338/x
  3. Step 3: Cross multiply
    7,247x = 10,338 × 10,338
  4. Step 4: Simplify right side
    7,247x = 106,874,244
  5. Step 5: Solve for x
    x = 106,874,244/7,247
  6. Step 6: Final answer
    x = 14,747.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.