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Finding the Third Proportional to 2,178 and 3,195

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Solution

The third proportional to 2,178 and 3,195 is: 4,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178 : 3,195 = 3,195 : x
  2. Step 2: Convert to fraction form
    2,178/3,195 = 3,195/x
  3. Step 3: Cross multiply
    2,178x = 3,195 × 3,195
  4. Step 4: Simplify right side
    2,178x = 10,208,025
  5. Step 5: Solve for x
    x = 10,208,025/2,178
  6. Step 6: Final answer
    x = 4,686.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.