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Finding the Third Proportional to 25,894.69 and 54,580.08

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Solution

The third proportional to 25,894.69 and 54,580.08 is: 115,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.69 : 54,580.08 = 54,580.08 : x
  2. Step 2: Convert to fraction form
    25,894.69/54,580.08 = 54,580.08/x
  3. Step 3: Cross multiply
    25,894.69x = 54,580.08 × 54,580.08
  4. Step 4: Simplify right side
    25,894.69x = 2,978,984,928.13
  5. Step 5: Solve for x
    x = 2,978,984,928.13/25,894.69
  6. Step 6: Final answer
    x = 115,042.32

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.