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Finding the Third Proportional to 12,865.50 and 19,245.94

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Solution

The third proportional to 12,865.50 and 19,245.94 is: 28,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.50 : 19,245.94 = 19,245.94 : x
  2. Step 2: Convert to fraction form
    12,865.50/19,245.94 = 19,245.94/x
  3. Step 3: Cross multiply
    12,865.50x = 19,245.94 × 19,245.94
  4. Step 4: Simplify right side
    12,865.50x = 370,406,110.25
  5. Step 5: Solve for x
    x = 370,406,110.25/12,865.50
  6. Step 6: Final answer
    x = 28,790.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.