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Finding the Third Proportional to 1,427 and 2,783

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Solution

The third proportional to 1,427 and 2,783 is: 5,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427 : 2,783 = 2,783 : x
  2. Step 2: Convert to fraction form
    1,427/2,783 = 2,783/x
  3. Step 3: Cross multiply
    1,427x = 2,783 × 2,783
  4. Step 4: Simplify right side
    1,427x = 7,745,089
  5. Step 5: Solve for x
    x = 7,745,089/1,427
  6. Step 6: Final answer
    x = 5,427.53

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.