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Finding the Third Proportional to 25,120.69 and 53,884.69

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Solution

The third proportional to 25,120.69 and 53,884.69 is: 115,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,120.69 : 53,884.69 = 53,884.69 : x
  2. Step 2: Convert to fraction form
    25,120.69/53,884.69 = 53,884.69/x
  3. Step 3: Cross multiply
    25,120.69x = 53,884.69 × 53,884.69
  4. Step 4: Simplify right side
    25,120.69x = 2,903,559,546.97
  5. Step 5: Solve for x
    x = 2,903,559,546.97/25,120.69
  6. Step 6: Final answer
    x = 115,584.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.