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Finding the Third Proportional to 2,741.06 and 6,627.94

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Solution

The third proportional to 2,741.06 and 6,627.94 is: 16,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.06 : 6,627.94 = 6,627.94 : x
  2. Step 2: Convert to fraction form
    2,741.06/6,627.94 = 6,627.94/x
  3. Step 3: Cross multiply
    2,741.06x = 6,627.94 × 6,627.94
  4. Step 4: Simplify right side
    2,741.06x = 43,929,555.50
  5. Step 5: Solve for x
    x = 43,929,555.50/2,741.06
  6. Step 6: Final answer
    x = 16,026.47

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.