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Finding the Third Proportional to 25,965.56 and 56,735.44

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Solution

The third proportional to 25,965.56 and 56,735.44 is: 123,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,965.56 : 56,735.44 = 56,735.44 : x
  2. Step 2: Convert to fraction form
    25,965.56/56,735.44 = 56,735.44/x
  3. Step 3: Cross multiply
    25,965.56x = 56,735.44 × 56,735.44
  4. Step 4: Simplify right side
    25,965.56x = 3,218,909,868.32
  5. Step 5: Solve for x
    x = 3,218,909,868.32/25,965.56
  6. Step 6: Final answer
    x = 123,968.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.