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Finding the Third Proportional to 25,272 and 54,724.50

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Solution

The third proportional to 25,272 and 54,724.50 is: 118,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,272 : 54,724.50 = 54,724.50 : x
  2. Step 2: Convert to fraction form
    25,272/54,724.50 = 54,724.50/x
  3. Step 3: Cross multiply
    25,272x = 54,724.50 × 54,724.50
  4. Step 4: Simplify right side
    25,272x = 2,994,770,900.25
  5. Step 5: Solve for x
    x = 2,994,770,900.25/25,272
  6. Step 6: Final answer
    x = 118,501.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.