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Finding the Third Proportional to 2,188 and 4,259

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Solution

The third proportional to 2,188 and 4,259 is: 8,290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188 : 4,259 = 4,259 : x
  2. Step 2: Convert to fraction form
    2,188/4,259 = 4,259/x
  3. Step 3: Cross multiply
    2,188x = 4,259 × 4,259
  4. Step 4: Simplify right side
    2,188x = 18,139,081
  5. Step 5: Solve for x
    x = 18,139,081/2,188
  6. Step 6: Final answer
    x = 8,290.26

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.