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Finding the Third Proportional to 1,431.56 and 3,122.44

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Solution

The third proportional to 1,431.56 and 3,122.44 is: 6,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.56 : 3,122.44 = 3,122.44 : x
  2. Step 2: Convert to fraction form
    1,431.56/3,122.44 = 3,122.44/x
  3. Step 3: Cross multiply
    1,431.56x = 3,122.44 × 3,122.44
  4. Step 4: Simplify right side
    1,431.56x = 9,749,615.94
  5. Step 5: Solve for x
    x = 9,749,615.94/1,431.56
  6. Step 6: Final answer
    x = 6,810.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.