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Finding the Third Proportional to 8,178 and 19,206

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Solution

The third proportional to 8,178 and 19,206 is: 45,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178 : 19,206 = 19,206 : x
  2. Step 2: Convert to fraction form
    8,178/19,206 = 19,206/x
  3. Step 3: Cross multiply
    8,178x = 19,206 × 19,206
  4. Step 4: Simplify right side
    8,178x = 368,870,436
  5. Step 5: Solve for x
    x = 368,870,436/8,178
  6. Step 6: Final answer
    x = 45,105.21

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.