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Finding the Third Proportional to 25,983 and 56,094

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Solution

The third proportional to 25,983 and 56,094 is: 121,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,983 : 56,094 = 56,094 : x
  2. Step 2: Convert to fraction form
    25,983/56,094 = 56,094/x
  3. Step 3: Cross multiply
    25,983x = 56,094 × 56,094
  4. Step 4: Simplify right side
    25,983x = 3,146,536,836
  5. Step 5: Solve for x
    x = 3,146,536,836/25,983
  6. Step 6: Final answer
    x = 121,099.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.