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Finding the Third Proportional to 25,886 and 40,845

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Solution

The third proportional to 25,886 and 40,845 is: 64,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886 : 40,845 = 40,845 : x
  2. Step 2: Convert to fraction form
    25,886/40,845 = 40,845/x
  3. Step 3: Cross multiply
    25,886x = 40,845 × 40,845
  4. Step 4: Simplify right side
    25,886x = 1,668,314,025
  5. Step 5: Solve for x
    x = 1,668,314,025/25,886
  6. Step 6: Final answer
    x = 64,448.51

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.