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Finding the Third Proportional to 25,274.11 and 54,054.57

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Solution

The third proportional to 25,274.11 and 54,054.57 is: 115,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274.11 : 54,054.57 = 54,054.57 : x
  2. Step 2: Convert to fraction form
    25,274.11/54,054.57 = 54,054.57/x
  3. Step 3: Cross multiply
    25,274.11x = 54,054.57 × 54,054.57
  4. Step 4: Simplify right side
    25,274.11x = 2,921,896,202.16
  5. Step 5: Solve for x
    x = 2,921,896,202.16/25,274.11
  6. Step 6: Final answer
    x = 115,608.29

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Why These Related Problems?

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