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Finding the Third Proportional to 19,959.94 and 31,311.28

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Solution

The third proportional to 19,959.94 and 31,311.28 is: 49,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,959.94 : 31,311.28 = 31,311.28 : x
  2. Step 2: Convert to fraction form
    19,959.94/31,311.28 = 31,311.28/x
  3. Step 3: Cross multiply
    19,959.94x = 31,311.28 × 31,311.28
  4. Step 4: Simplify right side
    19,959.94x = 980,396,333.52
  5. Step 5: Solve for x
    x = 980,396,333.52/19,959.94
  6. Step 6: Final answer
    x = 49,118.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.