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Finding the Third Proportional to 13,278.94 and 20,379.94

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Solution

The third proportional to 13,278.94 and 20,379.94 is: 31,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.94 : 20,379.94 = 20,379.94 : x
  2. Step 2: Convert to fraction form
    13,278.94/20,379.94 = 20,379.94/x
  3. Step 3: Cross multiply
    13,278.94x = 20,379.94 × 20,379.94
  4. Step 4: Simplify right side
    13,278.94x = 415,341,852.50
  5. Step 5: Solve for x
    x = 415,341,852.50/13,278.94
  6. Step 6: Final answer
    x = 31,278.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.