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Finding the Third Proportional to 25,917 and 40,021

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Solution

The third proportional to 25,917 and 40,021 is: 61,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,917 : 40,021 = 40,021 : x
  2. Step 2: Convert to fraction form
    25,917/40,021 = 40,021/x
  3. Step 3: Cross multiply
    25,917x = 40,021 × 40,021
  4. Step 4: Simplify right side
    25,917x = 1,601,680,441
  5. Step 5: Solve for x
    x = 1,601,680,441/25,917
  6. Step 6: Final answer
    x = 61,800.38

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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.