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Finding the Third Proportional to 25,764 and 54,930

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Solution

The third proportional to 25,764 and 54,930 is: 117,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,764 : 54,930 = 54,930 : x
  2. Step 2: Convert to fraction form
    25,764/54,930 = 54,930/x
  3. Step 3: Cross multiply
    25,764x = 54,930 × 54,930
  4. Step 4: Simplify right side
    25,764x = 3,017,304,900
  5. Step 5: Solve for x
    x = 3,017,304,900/25,764
  6. Step 6: Final answer
    x = 117,113.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.