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Finding the Third Proportional to 2,735.17 and 3,511.16

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Solution

The third proportional to 2,735.17 and 3,511.16 is: 4,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.17 : 3,511.16 = 3,511.16 : x
  2. Step 2: Convert to fraction form
    2,735.17/3,511.16 = 3,511.16/x
  3. Step 3: Cross multiply
    2,735.17x = 3,511.16 × 3,511.16
  4. Step 4: Simplify right side
    2,735.17x = 12,328,245.64
  5. Step 5: Solve for x
    x = 12,328,245.64/2,735.17
  6. Step 6: Final answer
    x = 4,507.30

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.