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Finding the Third Proportional to 30,971 and 65,938

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Solution

The third proportional to 30,971 and 65,938 is: 140,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971 : 65,938 = 65,938 : x
  2. Step 2: Convert to fraction form
    30,971/65,938 = 65,938/x
  3. Step 3: Cross multiply
    30,971x = 65,938 × 65,938
  4. Step 4: Simplify right side
    30,971x = 4,347,819,844
  5. Step 5: Solve for x
    x = 4,347,819,844/30,971
  6. Step 6: Final answer
    x = 140,383.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.