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Finding the Third Proportional to 25,372 and 36,062

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Solution

The third proportional to 25,372 and 36,062 is: 51,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,372 : 36,062 = 36,062 : x
  2. Step 2: Convert to fraction form
    25,372/36,062 = 36,062/x
  3. Step 3: Cross multiply
    25,372x = 36,062 × 36,062
  4. Step 4: Simplify right side
    25,372x = 1,300,467,844
  5. Step 5: Solve for x
    x = 1,300,467,844/25,372
  6. Step 6: Final answer
    x = 51,256.02

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.