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Finding the Third Proportional to 25,786 and 54,944

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Solution

The third proportional to 25,786 and 54,944 is: 117,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,786 : 54,944 = 54,944 : x
  2. Step 2: Convert to fraction form
    25,786/54,944 = 54,944/x
  3. Step 3: Cross multiply
    25,786x = 54,944 × 54,944
  4. Step 4: Simplify right side
    25,786x = 3,018,843,136
  5. Step 5: Solve for x
    x = 3,018,843,136/25,786
  6. Step 6: Final answer
    x = 117,072.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.