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Finding the Third Proportional to 25,033.50 and 58,209.75

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Solution

The third proportional to 25,033.50 and 58,209.75 is: 135,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,033.50 : 58,209.75 = 58,209.75 : x
  2. Step 2: Convert to fraction form
    25,033.50/58,209.75 = 58,209.75/x
  3. Step 3: Cross multiply
    25,033.50x = 58,209.75 × 58,209.75
  4. Step 4: Simplify right side
    25,033.50x = 3,388,374,995.06
  5. Step 5: Solve for x
    x = 3,388,374,995.06/25,033.50
  6. Step 6: Final answer
    x = 135,353.63

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.