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Finding the Third Proportional to 1,009 and 1,544

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Solution

The third proportional to 1,009 and 1,544 is: 2,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009 : 1,544 = 1,544 : x
  2. Step 2: Convert to fraction form
    1,009/1,544 = 1,544/x
  3. Step 3: Cross multiply
    1,009x = 1,544 × 1,544
  4. Step 4: Simplify right side
    1,009x = 2,383,936
  5. Step 5: Solve for x
    x = 2,383,936/1,009
  6. Step 6: Final answer
    x = 2,362.67

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Why These Related Problems?

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