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Finding the Third Proportional to 25,894.69 and 53,839.69

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Solution

The third proportional to 25,894.69 and 53,839.69 is: 111,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.69 : 53,839.69 = 53,839.69 : x
  2. Step 2: Convert to fraction form
    25,894.69/53,839.69 = 53,839.69/x
  3. Step 3: Cross multiply
    25,894.69x = 53,839.69 × 53,839.69
  4. Step 4: Simplify right side
    25,894.69x = 2,898,711,950.10
  5. Step 5: Solve for x
    x = 2,898,711,950.10/25,894.69
  6. Step 6: Final answer
    x = 111,942.34

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.