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Finding the Third Proportional to 25,558 and 38,798

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Solution

The third proportional to 25,558 and 38,798 is: 58,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,558 : 38,798 = 38,798 : x
  2. Step 2: Convert to fraction form
    25,558/38,798 = 38,798/x
  3. Step 3: Cross multiply
    25,558x = 38,798 × 38,798
  4. Step 4: Simplify right side
    25,558x = 1,505,284,804
  5. Step 5: Solve for x
    x = 1,505,284,804/25,558
  6. Step 6: Final answer
    x = 58,896.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.