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Finding the Third Proportional to 2,077.31 and 3,113.44

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Solution

The third proportional to 2,077.31 and 3,113.44 is: 4,666.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.31 : 3,113.44 = 3,113.44 : x
  2. Step 2: Convert to fraction form
    2,077.31/3,113.44 = 3,113.44/x
  3. Step 3: Cross multiply
    2,077.31x = 3,113.44 × 3,113.44
  4. Step 4: Simplify right side
    2,077.31x = 9,693,493.07
  5. Step 5: Solve for x
    x = 9,693,493.07/2,077.31
  6. Step 6: Final answer
    x = 4,666.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.