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Finding the Third Proportional to 17,141 and 25,894

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Solution

The third proportional to 17,141 and 25,894 is: 39,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141 : 25,894 = 25,894 : x
  2. Step 2: Convert to fraction form
    17,141/25,894 = 25,894/x
  3. Step 3: Cross multiply
    17,141x = 25,894 × 25,894
  4. Step 4: Simplify right side
    17,141x = 670,499,236
  5. Step 5: Solve for x
    x = 670,499,236/17,141
  6. Step 6: Final answer
    x = 39,116.69

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