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Finding the Third Proportional to 25,453 and 54,673

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Solution

The third proportional to 25,453 and 54,673 is: 117,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,453 : 54,673 = 54,673 : x
  2. Step 2: Convert to fraction form
    25,453/54,673 = 54,673/x
  3. Step 3: Cross multiply
    25,453x = 54,673 × 54,673
  4. Step 4: Simplify right side
    25,453x = 2,989,136,929
  5. Step 5: Solve for x
    x = 2,989,136,929/25,453
  6. Step 6: Final answer
    x = 117,437.51

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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.