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Finding the Third Proportional to 20,612.81 and 30,797.34

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Solution

The third proportional to 20,612.81 and 30,797.34 is: 46,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,612.81 : 30,797.34 = 30,797.34 : x
  2. Step 2: Convert to fraction form
    20,612.81/30,797.34 = 30,797.34/x
  3. Step 3: Cross multiply
    20,612.81x = 30,797.34 × 30,797.34
  4. Step 4: Simplify right side
    20,612.81x = 948,476,382.06
  5. Step 5: Solve for x
    x = 948,476,382.06/20,612.81
  6. Step 6: Final answer
    x = 46,013.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.