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Finding the Third Proportional to 13,923 and 19,678.50

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Solution

The third proportional to 13,923 and 19,678.50 is: 27,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923 : 19,678.50 = 19,678.50 : x
  2. Step 2: Convert to fraction form
    13,923/19,678.50 = 19,678.50/x
  3. Step 3: Cross multiply
    13,923x = 19,678.50 × 19,678.50
  4. Step 4: Simplify right side
    13,923x = 387,243,362.25
  5. Step 5: Solve for x
    x = 387,243,362.25/13,923
  6. Step 6: Final answer
    x = 27,813.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.