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Finding the Third Proportional to 19,039.22 and 38,539.97

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Solution

The third proportional to 19,039.22 and 38,539.97 is: 78,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,039.22 : 38,539.97 = 38,539.97 : x
  2. Step 2: Convert to fraction form
    19,039.22/38,539.97 = 38,539.97/x
  3. Step 3: Cross multiply
    19,039.22x = 38,539.97 × 38,539.97
  4. Step 4: Simplify right side
    19,039.22x = 1,485,329,191.25
  5. Step 5: Solve for x
    x = 1,485,329,191.25/19,039.22
  6. Step 6: Final answer
    x = 78,014.19

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.