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Finding the Third Proportional to 25,896 and 39,868

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Solution

The third proportional to 25,896 and 39,868 is: 61,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896 : 39,868 = 39,868 : x
  2. Step 2: Convert to fraction form
    25,896/39,868 = 39,868/x
  3. Step 3: Cross multiply
    25,896x = 39,868 × 39,868
  4. Step 4: Simplify right side
    25,896x = 1,589,457,424
  5. Step 5: Solve for x
    x = 1,589,457,424/25,896
  6. Step 6: Final answer
    x = 61,378.49

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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.