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Finding the Third Proportional to 25,393.75 and 54,689.69

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Solution

The third proportional to 25,393.75 and 54,689.69 is: 117,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,393.75 : 54,689.69 = 54,689.69 : x
  2. Step 2: Convert to fraction form
    25,393.75/54,689.69 = 54,689.69/x
  3. Step 3: Cross multiply
    25,393.75x = 54,689.69 × 54,689.69
  4. Step 4: Simplify right side
    25,393.75x = 2,990,961,918.85
  5. Step 5: Solve for x
    x = 2,990,961,918.85/25,393.75
  6. Step 6: Final answer
    x = 117,783.39

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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.