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Finding the Third Proportional to 1,648 and 3,462

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Solution

The third proportional to 1,648 and 3,462 is: 7,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648 : 3,462 = 3,462 : x
  2. Step 2: Convert to fraction form
    1,648/3,462 = 3,462/x
  3. Step 3: Cross multiply
    1,648x = 3,462 × 3,462
  4. Step 4: Simplify right side
    1,648x = 11,985,444
  5. Step 5: Solve for x
    x = 11,985,444/1,648
  6. Step 6: Final answer
    x = 7,272.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.