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Finding the Third Proportional to 1,774 and 1,924

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Solution

The third proportional to 1,774 and 1,924 is: 2,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774 : 1,924 = 1,924 : x
  2. Step 2: Convert to fraction form
    1,774/1,924 = 1,924/x
  3. Step 3: Cross multiply
    1,774x = 1,924 × 1,924
  4. Step 4: Simplify right side
    1,774x = 3,701,776
  5. Step 5: Solve for x
    x = 3,701,776/1,774
  6. Step 6: Final answer
    x = 2,086.68

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.