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Finding the Third Proportional to 25,189.50 and 54,995.25

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Solution

The third proportional to 25,189.50 and 54,995.25 is: 120,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,189.50 : 54,995.25 = 54,995.25 : x
  2. Step 2: Convert to fraction form
    25,189.50/54,995.25 = 54,995.25/x
  3. Step 3: Cross multiply
    25,189.50x = 54,995.25 × 54,995.25
  4. Step 4: Simplify right side
    25,189.50x = 3,024,477,522.56
  5. Step 5: Solve for x
    x = 3,024,477,522.56/25,189.50
  6. Step 6: Final answer
    x = 120,068.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.