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Finding the Third Proportional to 25,754 and 54,275

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Solution

The third proportional to 25,754 and 54,275 is: 114,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754 : 54,275 = 54,275 : x
  2. Step 2: Convert to fraction form
    25,754/54,275 = 54,275/x
  3. Step 3: Cross multiply
    25,754x = 54,275 × 54,275
  4. Step 4: Simplify right side
    25,754x = 2,945,775,625
  5. Step 5: Solve for x
    x = 2,945,775,625/25,754
  6. Step 6: Final answer
    x = 114,381.29

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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.