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Finding the Third Proportional to 25,956 and 56,468.25

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Solution

The third proportional to 25,956 and 56,468.25 is: 122,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,956 : 56,468.25 = 56,468.25 : x
  2. Step 2: Convert to fraction form
    25,956/56,468.25 = 56,468.25/x
  3. Step 3: Cross multiply
    25,956x = 56,468.25 × 56,468.25
  4. Step 4: Simplify right side
    25,956x = 3,188,663,258.06
  5. Step 5: Solve for x
    x = 3,188,663,258.06/25,956
  6. Step 6: Final answer
    x = 122,848.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.