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Finding the Third Proportional to 19,503.94 and 41,970.38

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Solution

The third proportional to 19,503.94 and 41,970.38 is: 90,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,503.94 : 41,970.38 = 41,970.38 : x
  2. Step 2: Convert to fraction form
    19,503.94/41,970.38 = 41,970.38/x
  3. Step 3: Cross multiply
    19,503.94x = 41,970.38 × 41,970.38
  4. Step 4: Simplify right side
    19,503.94x = 1,761,512,377.64
  5. Step 5: Solve for x
    x = 1,761,512,377.64/19,503.94
  6. Step 6: Final answer
    x = 90,315.73

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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.