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Finding the Third Proportional to 2,122 and 4,378

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Solution

The third proportional to 2,122 and 4,378 is: 9,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122 : 4,378 = 4,378 : x
  2. Step 2: Convert to fraction form
    2,122/4,378 = 4,378/x
  3. Step 3: Cross multiply
    2,122x = 4,378 × 4,378
  4. Step 4: Simplify right side
    2,122x = 19,166,884
  5. Step 5: Solve for x
    x = 19,166,884/2,122
  6. Step 6: Final answer
    x = 9,032.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.