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Finding the Third Proportional to 47,081.25 and 57,165.75

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Solution

The third proportional to 47,081.25 and 57,165.75 is: 69,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,081.25 : 57,165.75 = 57,165.75 : x
  2. Step 2: Convert to fraction form
    47,081.25/57,165.75 = 57,165.75/x
  3. Step 3: Cross multiply
    47,081.25x = 57,165.75 × 57,165.75
  4. Step 4: Simplify right side
    47,081.25x = 3,267,922,973.06
  5. Step 5: Solve for x
    x = 3,267,922,973.06/47,081.25
  6. Step 6: Final answer
    x = 69,410.28

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.