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Finding the Third Proportional to 19,244 and 41,363.50

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Solution

The third proportional to 19,244 and 41,363.50 is: 88,907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,244 : 41,363.50 = 41,363.50 : x
  2. Step 2: Convert to fraction form
    19,244/41,363.50 = 41,363.50/x
  3. Step 3: Cross multiply
    19,244x = 41,363.50 × 41,363.50
  4. Step 4: Simplify right side
    19,244x = 1,710,939,132.25
  5. Step 5: Solve for x
    x = 1,710,939,132.25/19,244
  6. Step 6: Final answer
    x = 88,907.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.