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Finding the Third Proportional to 1,984 and 3,242

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Solution

The third proportional to 1,984 and 3,242 is: 5,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984 : 3,242 = 3,242 : x
  2. Step 2: Convert to fraction form
    1,984/3,242 = 3,242/x
  3. Step 3: Cross multiply
    1,984x = 3,242 × 3,242
  4. Step 4: Simplify right side
    1,984x = 10,510,564
  5. Step 5: Solve for x
    x = 10,510,564/1,984
  6. Step 6: Final answer
    x = 5,297.66

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.