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Finding the Third Proportional to 19,069.50 and 44,290.50

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Solution

The third proportional to 19,069.50 and 44,290.50 is: 102,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,069.50 : 44,290.50 = 44,290.50 : x
  2. Step 2: Convert to fraction form
    19,069.50/44,290.50 = 44,290.50/x
  3. Step 3: Cross multiply
    19,069.50x = 44,290.50 × 44,290.50
  4. Step 4: Simplify right side
    19,069.50x = 1,961,648,390.25
  5. Step 5: Solve for x
    x = 1,961,648,390.25/19,069.50
  6. Step 6: Final answer
    x = 102,868.37

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.