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Finding the Third Proportional to 25,733.75 and 55,034.69

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Solution

The third proportional to 25,733.75 and 55,034.69 is: 117,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,733.75 : 55,034.69 = 55,034.69 : x
  2. Step 2: Convert to fraction form
    25,733.75/55,034.69 = 55,034.69/x
  3. Step 3: Cross multiply
    25,733.75x = 55,034.69 × 55,034.69
  4. Step 4: Simplify right side
    25,733.75x = 3,028,816,828.22
  5. Step 5: Solve for x
    x = 3,028,816,828.22/25,733.75
  6. Step 6: Final answer
    x = 117,698.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.