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Finding the Third Proportional to 45,882.75 and 67,971

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Solution

The third proportional to 45,882.75 and 67,971 is: 100,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,882.75 : 67,971 = 67,971 : x
  2. Step 2: Convert to fraction form
    45,882.75/67,971 = 67,971/x
  3. Step 3: Cross multiply
    45,882.75x = 67,971 × 67,971
  4. Step 4: Simplify right side
    45,882.75x = 4,620,056,841
  5. Step 5: Solve for x
    x = 4,620,056,841/45,882.75
  6. Step 6: Final answer
    x = 100,692.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.