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Finding the Third Proportional to 25,896 and 57,036

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Solution

The third proportional to 25,896 and 57,036 is: 125,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896 : 57,036 = 57,036 : x
  2. Step 2: Convert to fraction form
    25,896/57,036 = 57,036/x
  3. Step 3: Cross multiply
    25,896x = 57,036 × 57,036
  4. Step 4: Simplify right side
    25,896x = 3,253,105,296
  5. Step 5: Solve for x
    x = 3,253,105,296/25,896
  6. Step 6: Final answer
    x = 125,621.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.