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Finding the Third Proportional to 19,437.47 and 41,942.81

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Solution

The third proportional to 19,437.47 and 41,942.81 is: 90,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,437.47 : 41,942.81 = 41,942.81 : x
  2. Step 2: Convert to fraction form
    19,437.47/41,942.81 = 41,942.81/x
  3. Step 3: Cross multiply
    19,437.47x = 41,942.81 × 41,942.81
  4. Step 4: Simplify right side
    19,437.47x = 1,759,199,520.41
  5. Step 5: Solve for x
    x = 1,759,199,520.41/19,437.47
  6. Step 6: Final answer
    x = 90,505.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.