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Finding the Third Proportional to 2,968.31 and 6,407.44

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Solution

The third proportional to 2,968.31 and 6,407.44 is: 13,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.31 : 6,407.44 = 6,407.44 : x
  2. Step 2: Convert to fraction form
    2,968.31/6,407.44 = 6,407.44/x
  3. Step 3: Cross multiply
    2,968.31x = 6,407.44 × 6,407.44
  4. Step 4: Simplify right side
    2,968.31x = 41,055,255.32
  5. Step 5: Solve for x
    x = 41,055,255.32/2,968.31
  6. Step 6: Final answer
    x = 13,831.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.