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Finding the Third Proportional to 25,150.50 and 54,909

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Solution

The third proportional to 25,150.50 and 54,909 is: 119,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,150.50 : 54,909 = 54,909 : x
  2. Step 2: Convert to fraction form
    25,150.50/54,909 = 54,909/x
  3. Step 3: Cross multiply
    25,150.50x = 54,909 × 54,909
  4. Step 4: Simplify right side
    25,150.50x = 3,014,998,281
  5. Step 5: Solve for x
    x = 3,014,998,281/25,150.50
  6. Step 6: Final answer
    x = 119,878.26

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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.