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Finding the Third Proportional to 1,412 and 1,881

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Solution

The third proportional to 1,412 and 1,881 is: 2,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412 : 1,881 = 1,881 : x
  2. Step 2: Convert to fraction form
    1,412/1,881 = 1,881/x
  3. Step 3: Cross multiply
    1,412x = 1,881 × 1,881
  4. Step 4: Simplify right side
    1,412x = 3,538,161
  5. Step 5: Solve for x
    x = 3,538,161/1,412
  6. Step 6: Final answer
    x = 2,505.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.