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Finding the Third Proportional to 30,794 and 49,594

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Solution

The third proportional to 30,794 and 49,594 is: 79,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794 : 49,594 = 49,594 : x
  2. Step 2: Convert to fraction form
    30,794/49,594 = 49,594/x
  3. Step 3: Cross multiply
    30,794x = 49,594 × 49,594
  4. Step 4: Simplify right side
    30,794x = 2,459,564,836
  5. Step 5: Solve for x
    x = 2,459,564,836/30,794
  6. Step 6: Final answer
    x = 79,871.56

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.