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Finding the Third Proportional to 30,207.94 and 49,344.19

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Solution

The third proportional to 30,207.94 and 49,344.19 is: 80,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.94 : 49,344.19 = 49,344.19 : x
  2. Step 2: Convert to fraction form
    30,207.94/49,344.19 = 49,344.19/x
  3. Step 3: Cross multiply
    30,207.94x = 49,344.19 × 49,344.19
  4. Step 4: Simplify right side
    30,207.94x = 2,434,848,840.04
  5. Step 5: Solve for x
    x = 2,434,848,840.04/30,207.94
  6. Step 6: Final answer
    x = 80,602.95

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.