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Finding the Third Proportional to 19,432.41 and 30,993.89

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Solution

The third proportional to 19,432.41 and 30,993.89 is: 49,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,432.41 : 30,993.89 = 30,993.89 : x
  2. Step 2: Convert to fraction form
    19,432.41/30,993.89 = 30,993.89/x
  3. Step 3: Cross multiply
    19,432.41x = 30,993.89 × 30,993.89
  4. Step 4: Simplify right side
    19,432.41x = 960,621,256.07
  5. Step 5: Solve for x
    x = 960,621,256.07/19,432.41
  6. Step 6: Final answer
    x = 49,433.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.