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Finding the Third Proportional to 1,648 and 2,920

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Solution

The third proportional to 1,648 and 2,920 is: 5,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648 : 2,920 = 2,920 : x
  2. Step 2: Convert to fraction form
    1,648/2,920 = 2,920/x
  3. Step 3: Cross multiply
    1,648x = 2,920 × 2,920
  4. Step 4: Simplify right side
    1,648x = 8,526,400
  5. Step 5: Solve for x
    x = 8,526,400/1,648
  6. Step 6: Final answer
    x = 5,173.79

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.