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Finding the Third Proportional to 2,867.06 and 7,116.19

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Solution

The third proportional to 2,867.06 and 7,116.19 is: 17,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.06 : 7,116.19 = 7,116.19 : x
  2. Step 2: Convert to fraction form
    2,867.06/7,116.19 = 7,116.19/x
  3. Step 3: Cross multiply
    2,867.06x = 7,116.19 × 7,116.19
  4. Step 4: Simplify right side
    2,867.06x = 50,640,124.54
  5. Step 5: Solve for x
    x = 50,640,124.54/2,867.06
  6. Step 6: Final answer
    x = 17,662.72

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.