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Finding the Third Proportional to 2,196 and 4,185

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Solution

The third proportional to 2,196 and 4,185 is: 7,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196 : 4,185 = 4,185 : x
  2. Step 2: Convert to fraction form
    2,196/4,185 = 4,185/x
  3. Step 3: Cross multiply
    2,196x = 4,185 × 4,185
  4. Step 4: Simplify right side
    2,196x = 17,514,225
  5. Step 5: Solve for x
    x = 17,514,225/2,196
  6. Step 6: Final answer
    x = 7,975.51

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.