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Finding the Third Proportional to 25,834 and 37,994

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Solution

The third proportional to 25,834 and 37,994 is: 55,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,834 : 37,994 = 37,994 : x
  2. Step 2: Convert to fraction form
    25,834/37,994 = 37,994/x
  3. Step 3: Cross multiply
    25,834x = 37,994 × 37,994
  4. Step 4: Simplify right side
    25,834x = 1,443,544,036
  5. Step 5: Solve for x
    x = 1,443,544,036/25,834
  6. Step 6: Final answer
    x = 55,877.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.