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Finding the Third Proportional to 25,389 and 37,971

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Solution

The third proportional to 25,389 and 37,971 is: 56,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,389 : 37,971 = 37,971 : x
  2. Step 2: Convert to fraction form
    25,389/37,971 = 37,971/x
  3. Step 3: Cross multiply
    25,389x = 37,971 × 37,971
  4. Step 4: Simplify right side
    25,389x = 1,441,796,841
  5. Step 5: Solve for x
    x = 1,441,796,841/25,389
  6. Step 6: Final answer
    x = 56,788.25

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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.