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Finding the Third Proportional to 2,941.31 and 6,287.44

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Solution

The third proportional to 2,941.31 and 6,287.44 is: 13,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.31 : 6,287.44 = 6,287.44 : x
  2. Step 2: Convert to fraction form
    2,941.31/6,287.44 = 6,287.44/x
  3. Step 3: Cross multiply
    2,941.31x = 6,287.44 × 6,287.44
  4. Step 4: Simplify right side
    2,941.31x = 39,531,870.32
  5. Step 5: Solve for x
    x = 39,531,870.32/2,941.31
  6. Step 6: Final answer
    x = 13,440.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.