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Finding the Third Proportional to 19,372.50 and 41,570

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Solution

The third proportional to 19,372.50 and 41,570 is: 89,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,372.50 : 41,570 = 41,570 : x
  2. Step 2: Convert to fraction form
    19,372.50/41,570 = 41,570/x
  3. Step 3: Cross multiply
    19,372.50x = 41,570 × 41,570
  4. Step 4: Simplify right side
    19,372.50x = 1,728,064,900
  5. Step 5: Solve for x
    x = 1,728,064,900/19,372.50
  6. Step 6: Final answer
    x = 89,201.96

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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.