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Finding the Third Proportional to 2,887 and 3,184

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Solution

The third proportional to 2,887 and 3,184 is: 3,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887 : 3,184 = 3,184 : x
  2. Step 2: Convert to fraction form
    2,887/3,184 = 3,184/x
  3. Step 3: Cross multiply
    2,887x = 3,184 × 3,184
  4. Step 4: Simplify right side
    2,887x = 10,137,856
  5. Step 5: Solve for x
    x = 10,137,856/2,887
  6. Step 6: Final answer
    x = 3,511.55

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.