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Finding the Third Proportional to 25,494 and 54,921

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Solution

The third proportional to 25,494 and 54,921 is: 118,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494 : 54,921 = 54,921 : x
  2. Step 2: Convert to fraction form
    25,494/54,921 = 54,921/x
  3. Step 3: Cross multiply
    25,494x = 54,921 × 54,921
  4. Step 4: Simplify right side
    25,494x = 3,016,316,241
  5. Step 5: Solve for x
    x = 3,016,316,241/25,494
  6. Step 6: Final answer
    x = 118,314.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.