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Finding the Third Proportional to 25,834 and 39,873

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Solution

The third proportional to 25,834 and 39,873 is: 61,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,834 : 39,873 = 39,873 : x
  2. Step 2: Convert to fraction form
    25,834/39,873 = 39,873/x
  3. Step 3: Cross multiply
    25,834x = 39,873 × 39,873
  4. Step 4: Simplify right side
    25,834x = 1,589,856,129
  5. Step 5: Solve for x
    x = 1,589,856,129/25,834
  6. Step 6: Final answer
    x = 61,541.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.