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Finding the Third Proportional to 1,648 and 3,035

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Solution

The third proportional to 1,648 and 3,035 is: 5,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648 : 3,035 = 3,035 : x
  2. Step 2: Convert to fraction form
    1,648/3,035 = 3,035/x
  3. Step 3: Cross multiply
    1,648x = 3,035 × 3,035
  4. Step 4: Simplify right side
    1,648x = 9,211,225
  5. Step 5: Solve for x
    x = 9,211,225/1,648
  6. Step 6: Final answer
    x = 5,589.34

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.