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Finding the Third Proportional to 25,024 and 54,969.75

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Solution

The third proportional to 25,024 and 54,969.75 is: 120,751.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,024 : 54,969.75 = 54,969.75 : x
  2. Step 2: Convert to fraction form
    25,024/54,969.75 = 54,969.75/x
  3. Step 3: Cross multiply
    25,024x = 54,969.75 × 54,969.75
  4. Step 4: Simplify right side
    25,024x = 3,021,673,415.06
  5. Step 5: Solve for x
    x = 3,021,673,415.06/25,024
  6. Step 6: Final answer
    x = 120,751.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.