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Finding the Third Proportional to 25,078.50 and 59,415.75

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Solution

The third proportional to 25,078.50 and 59,415.75 is: 140,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,078.50 : 59,415.75 = 59,415.75 : x
  2. Step 2: Convert to fraction form
    25,078.50/59,415.75 = 59,415.75/x
  3. Step 3: Cross multiply
    25,078.50x = 59,415.75 × 59,415.75
  4. Step 4: Simplify right side
    25,078.50x = 3,530,231,348.06
  5. Step 5: Solve for x
    x = 3,530,231,348.06/25,078.50
  6. Step 6: Final answer
    x = 140,767.24

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.