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Finding the Third Proportional to 16,592 and 25,898

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Solution

The third proportional to 16,592 and 25,898 is: 40,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592 : 25,898 = 25,898 : x
  2. Step 2: Convert to fraction form
    16,592/25,898 = 25,898/x
  3. Step 3: Cross multiply
    16,592x = 25,898 × 25,898
  4. Step 4: Simplify right side
    16,592x = 670,706,404
  5. Step 5: Solve for x
    x = 670,706,404/16,592
  6. Step 6: Final answer
    x = 40,423.48

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.