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Finding the Third Proportional to 25,338.45 and 54,902.81

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Solution

The third proportional to 25,338.45 and 54,902.81 is: 118,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,338.45 : 54,902.81 = 54,902.81 : x
  2. Step 2: Convert to fraction form
    25,338.45/54,902.81 = 54,902.81/x
  3. Step 3: Cross multiply
    25,338.45x = 54,902.81 × 54,902.81
  4. Step 4: Simplify right side
    25,338.45x = 3,014,318,820.41
  5. Step 5: Solve for x
    x = 3,014,318,820.41/25,338.45
  6. Step 6: Final answer
    x = 118,962.26

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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.