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Finding the Third Proportional to 25,194 and 54,924

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Solution

The third proportional to 25,194 and 54,924 is: 119,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,194 : 54,924 = 54,924 : x
  2. Step 2: Convert to fraction form
    25,194/54,924 = 54,924/x
  3. Step 3: Cross multiply
    25,194x = 54,924 × 54,924
  4. Step 4: Simplify right side
    25,194x = 3,016,645,776
  5. Step 5: Solve for x
    x = 3,016,645,776/25,194
  6. Step 6: Final answer
    x = 119,736.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.