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Finding the Third Proportional to 25,647.75 and 57,881.25

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Solution

The third proportional to 25,647.75 and 57,881.25 is: 130,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,647.75 : 57,881.25 = 57,881.25 : x
  2. Step 2: Convert to fraction form
    25,647.75/57,881.25 = 57,881.25/x
  3. Step 3: Cross multiply
    25,647.75x = 57,881.25 × 57,881.25
  4. Step 4: Simplify right side
    25,647.75x = 3,350,239,101.56
  5. Step 5: Solve for x
    x = 3,350,239,101.56/25,647.75
  6. Step 6: Final answer
    x = 130,625.07

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.