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Finding the Third Proportional to 25,816 and 56,848

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Solution

The third proportional to 25,816 and 56,848 is: 125,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,816 : 56,848 = 56,848 : x
  2. Step 2: Convert to fraction form
    25,816/56,848 = 56,848/x
  3. Step 3: Cross multiply
    25,816x = 56,848 × 56,848
  4. Step 4: Simplify right side
    25,816x = 3,231,695,104
  5. Step 5: Solve for x
    x = 3,231,695,104/25,816
  6. Step 6: Final answer
    x = 125,181.87

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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.