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Finding the Third Proportional to 1,996 and 4,648

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Solution

The third proportional to 1,996 and 4,648 is: 10,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996 : 4,648 = 4,648 : x
  2. Step 2: Convert to fraction form
    1,996/4,648 = 4,648/x
  3. Step 3: Cross multiply
    1,996x = 4,648 × 4,648
  4. Step 4: Simplify right side
    1,996x = 21,603,904
  5. Step 5: Solve for x
    x = 21,603,904/1,996
  6. Step 6: Final answer
    x = 10,823.60

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.