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Finding the Third Proportional to 24,972 and 37,971

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Solution

The third proportional to 24,972 and 37,971 is: 57,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,972 : 37,971 = 37,971 : x
  2. Step 2: Convert to fraction form
    24,972/37,971 = 37,971/x
  3. Step 3: Cross multiply
    24,972x = 37,971 × 37,971
  4. Step 4: Simplify right side
    24,972x = 1,441,796,841
  5. Step 5: Solve for x
    x = 1,441,796,841/24,972
  6. Step 6: Final answer
    x = 57,736.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.