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Finding the Third Proportional to 1,741.22 and 3,725.44

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Solution

The third proportional to 1,741.22 and 3,725.44 is: 7,970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.22 : 3,725.44 = 3,725.44 : x
  2. Step 2: Convert to fraction form
    1,741.22/3,725.44 = 3,725.44/x
  3. Step 3: Cross multiply
    1,741.22x = 3,725.44 × 3,725.44
  4. Step 4: Simplify right side
    1,741.22x = 13,878,884.57
  5. Step 5: Solve for x
    x = 13,878,884.57/1,741.22
  6. Step 6: Final answer
    x = 7,970.79

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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.