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Finding the Third Proportional to 25,972 and 38,086

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Solution

The third proportional to 25,972 and 38,086 is: 55,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,972 : 38,086 = 38,086 : x
  2. Step 2: Convert to fraction form
    25,972/38,086 = 38,086/x
  3. Step 3: Cross multiply
    25,972x = 38,086 × 38,086
  4. Step 4: Simplify right side
    25,972x = 1,450,543,396
  5. Step 5: Solve for x
    x = 1,450,543,396/25,972
  6. Step 6: Final answer
    x = 55,850.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.