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Finding the Third Proportional to 25,458.05 and 55,734.33

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Solution

The third proportional to 25,458.05 and 55,734.33 is: 122,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,458.05 : 55,734.33 = 55,734.33 : x
  2. Step 2: Convert to fraction form
    25,458.05/55,734.33 = 55,734.33/x
  3. Step 3: Cross multiply
    25,458.05x = 55,734.33 × 55,734.33
  4. Step 4: Simplify right side
    25,458.05x = 3,106,315,331.55
  5. Step 5: Solve for x
    x = 3,106,315,331.55/25,458.05
  6. Step 6: Final answer
    x = 122,017.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.