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Finding the Third Proportional to 2,169 and 4,229

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Solution

The third proportional to 2,169 and 4,229 is: 8,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169 : 4,229 = 4,229 : x
  2. Step 2: Convert to fraction form
    2,169/4,229 = 4,229/x
  3. Step 3: Cross multiply
    2,169x = 4,229 × 4,229
  4. Step 4: Simplify right side
    2,169x = 17,884,441
  5. Step 5: Solve for x
    x = 17,884,441/2,169
  6. Step 6: Final answer
    x = 8,245.48

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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.