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Finding the Third Proportional to 38,856.75 and 57,464.25

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Solution

The third proportional to 38,856.75 and 57,464.25 is: 84,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,856.75 : 57,464.25 = 57,464.25 : x
  2. Step 2: Convert to fraction form
    38,856.75/57,464.25 = 57,464.25/x
  3. Step 3: Cross multiply
    38,856.75x = 57,464.25 × 57,464.25
  4. Step 4: Simplify right side
    38,856.75x = 3,302,140,028.06
  5. Step 5: Solve for x
    x = 3,302,140,028.06/38,856.75
  6. Step 6: Final answer
    x = 84,982.40

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.