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Finding the Third Proportional to 37,971 and 56,912

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Solution

The third proportional to 37,971 and 56,912 is: 85,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,971 : 56,912 = 56,912 : x
  2. Step 2: Convert to fraction form
    37,971/56,912 = 56,912/x
  3. Step 3: Cross multiply
    37,971x = 56,912 × 56,912
  4. Step 4: Simplify right side
    37,971x = 3,238,975,744
  5. Step 5: Solve for x
    x = 3,238,975,744/37,971
  6. Step 6: Final answer
    x = 85,301.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.