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Finding the Third Proportional to 12,550.50 and 19,443.94

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Solution

The third proportional to 12,550.50 and 19,443.94 is: 30,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,550.50 : 19,443.94 = 19,443.94 : x
  2. Step 2: Convert to fraction form
    12,550.50/19,443.94 = 19,443.94/x
  3. Step 3: Cross multiply
    12,550.50x = 19,443.94 × 19,443.94
  4. Step 4: Simplify right side
    12,550.50x = 378,066,705.50
  5. Step 5: Solve for x
    x = 378,066,705.50/12,550.50
  6. Step 6: Final answer
    x = 30,123.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.