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Finding the Third Proportional to 25,763 and 54,293

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Solution

The third proportional to 25,763 and 54,293 is: 114,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,763 : 54,293 = 54,293 : x
  2. Step 2: Convert to fraction form
    25,763/54,293 = 54,293/x
  3. Step 3: Cross multiply
    25,763x = 54,293 × 54,293
  4. Step 4: Simplify right side
    25,763x = 2,947,729,849
  5. Step 5: Solve for x
    x = 2,947,729,849/25,763
  6. Step 6: Final answer
    x = 114,417.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.