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Finding the Third Proportional to 30,982 and 49,236

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Solution

The third proportional to 30,982 and 49,236 is: 78,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982 : 49,236 = 49,236 : x
  2. Step 2: Convert to fraction form
    30,982/49,236 = 49,236/x
  3. Step 3: Cross multiply
    30,982x = 49,236 × 49,236
  4. Step 4: Simplify right side
    30,982x = 2,424,183,696
  5. Step 5: Solve for x
    x = 2,424,183,696/30,982
  6. Step 6: Final answer
    x = 78,244.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.