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Finding the Third Proportional to 25,809 and 54,719.25

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Solution

The third proportional to 25,809 and 54,719.25 is: 116,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809 : 54,719.25 = 54,719.25 : x
  2. Step 2: Convert to fraction form
    25,809/54,719.25 = 54,719.25/x
  3. Step 3: Cross multiply
    25,809x = 54,719.25 × 54,719.25
  4. Step 4: Simplify right side
    25,809x = 2,994,196,320.56
  5. Step 5: Solve for x
    x = 2,994,196,320.56/25,809
  6. Step 6: Final answer
    x = 116,013.65

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.