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Finding the Third Proportional to 17,156 and 25,916

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Solution

The third proportional to 17,156 and 25,916 is: 39,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,156 : 25,916 = 25,916 : x
  2. Step 2: Convert to fraction form
    17,156/25,916 = 25,916/x
  3. Step 3: Cross multiply
    17,156x = 25,916 × 25,916
  4. Step 4: Simplify right side
    17,156x = 671,639,056
  5. Step 5: Solve for x
    x = 671,639,056/17,156
  6. Step 6: Final answer
    x = 39,148.93

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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.