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Finding the Third Proportional to 8,389.50 and 19,794.75

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Solution

The third proportional to 8,389.50 and 19,794.75 is: 46,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.50 : 19,794.75 = 19,794.75 : x
  2. Step 2: Convert to fraction form
    8,389.50/19,794.75 = 19,794.75/x
  3. Step 3: Cross multiply
    8,389.50x = 19,794.75 × 19,794.75
  4. Step 4: Simplify right side
    8,389.50x = 391,832,127.56
  5. Step 5: Solve for x
    x = 391,832,127.56/8,389.50
  6. Step 6: Final answer
    x = 46,705.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.