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Finding the Third Proportional to 19,191.94 and 39,219.19

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Solution

The third proportional to 19,191.94 and 39,219.19 is: 80,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,191.94 : 39,219.19 = 39,219.19 : x
  2. Step 2: Convert to fraction form
    19,191.94/39,219.19 = 39,219.19/x
  3. Step 3: Cross multiply
    19,191.94x = 39,219.19 × 39,219.19
  4. Step 4: Simplify right side
    19,191.94x = 1,538,144,668.16
  5. Step 5: Solve for x
    x = 1,538,144,668.16/19,191.94
  6. Step 6: Final answer
    x = 80,145.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.