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Finding the Third Proportional to 19,443.80 and 31,403.95

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Solution

The third proportional to 19,443.80 and 31,403.95 is: 50,720.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,443.80 : 31,403.95 = 31,403.95 : x
  2. Step 2: Convert to fraction form
    19,443.80/31,403.95 = 31,403.95/x
  3. Step 3: Cross multiply
    19,443.80x = 31,403.95 × 31,403.95
  4. Step 4: Simplify right side
    19,443.80x = 986,208,271.88
  5. Step 5: Solve for x
    x = 986,208,271.88/19,443.80
  6. Step 6: Final answer
    x = 50,720.97

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.