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Finding the Third Proportional to 25,840 and 54,733

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Solution

The third proportional to 25,840 and 54,733 is: 115,932.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,840 : 54,733 = 54,733 : x
  2. Step 2: Convert to fraction form
    25,840/54,733 = 54,733/x
  3. Step 3: Cross multiply
    25,840x = 54,733 × 54,733
  4. Step 4: Simplify right side
    25,840x = 2,995,701,289
  5. Step 5: Solve for x
    x = 2,995,701,289/25,840
  6. Step 6: Final answer
    x = 115,932.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.