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Finding the Third Proportional to 19,111.50 and 39,451.50

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Solution

The third proportional to 19,111.50 and 39,451.50 is: 81,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,111.50 : 39,451.50 = 39,451.50 : x
  2. Step 2: Convert to fraction form
    19,111.50/39,451.50 = 39,451.50/x
  3. Step 3: Cross multiply
    19,111.50x = 39,451.50 × 39,451.50
  4. Step 4: Simplify right side
    19,111.50x = 1,556,420,852.25
  5. Step 5: Solve for x
    x = 1,556,420,852.25/19,111.50
  6. Step 6: Final answer
    x = 81,438.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.