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Finding the Third Proportional to 19,505.20 and 41,970.54

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Solution

The third proportional to 19,505.20 and 41,970.54 is: 90,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,505.20 : 41,970.54 = 41,970.54 : x
  2. Step 2: Convert to fraction form
    19,505.20/41,970.54 = 41,970.54/x
  3. Step 3: Cross multiply
    19,505.20x = 41,970.54 × 41,970.54
  4. Step 4: Simplify right side
    19,505.20x = 1,761,526,026.24
  5. Step 5: Solve for x
    x = 1,761,526,026.24/19,505.20
  6. Step 6: Final answer
    x = 90,310.59

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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.