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Finding the Third Proportional to 30,983 and 67,906

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Solution

The third proportional to 30,983 and 67,906 is: 148,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983 : 67,906 = 67,906 : x
  2. Step 2: Convert to fraction form
    30,983/67,906 = 67,906/x
  3. Step 3: Cross multiply
    30,983x = 67,906 × 67,906
  4. Step 4: Simplify right side
    30,983x = 4,611,224,836
  5. Step 5: Solve for x
    x = 4,611,224,836/30,983
  6. Step 6: Final answer
    x = 148,830.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.