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Finding the Third Proportional to 25,346 and 38,171

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Solution

The third proportional to 25,346 and 38,171 is: 57,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,346 : 38,171 = 38,171 : x
  2. Step 2: Convert to fraction form
    25,346/38,171 = 38,171/x
  3. Step 3: Cross multiply
    25,346x = 38,171 × 38,171
  4. Step 4: Simplify right side
    25,346x = 1,457,025,241
  5. Step 5: Solve for x
    x = 1,457,025,241/25,346
  6. Step 6: Final answer
    x = 57,485.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.