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Finding the Third Proportional to 43,750 and 57,971

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Solution

The third proportional to 43,750 and 57,971 is: 76,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,750 : 57,971 = 57,971 : x
  2. Step 2: Convert to fraction form
    43,750/57,971 = 57,971/x
  3. Step 3: Cross multiply
    43,750x = 57,971 × 57,971
  4. Step 4: Simplify right side
    43,750x = 3,360,636,841
  5. Step 5: Solve for x
    x = 3,360,636,841/43,750
  6. Step 6: Final answer
    x = 76,814.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.