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Finding the Third Proportional to 1,427 and 2,546

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Solution

The third proportional to 1,427 and 2,546 is: 4,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427 : 2,546 = 2,546 : x
  2. Step 2: Convert to fraction form
    1,427/2,546 = 2,546/x
  3. Step 3: Cross multiply
    1,427x = 2,546 × 2,546
  4. Step 4: Simplify right side
    1,427x = 6,482,116
  5. Step 5: Solve for x
    x = 6,482,116/1,427
  6. Step 6: Final answer
    x = 4,542.48

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.