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Finding the Third Proportional to 16,846 and 26,426

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Solution

The third proportional to 16,846 and 26,426 is: 41,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846 : 26,426 = 26,426 : x
  2. Step 2: Convert to fraction form
    16,846/26,426 = 26,426/x
  3. Step 3: Cross multiply
    16,846x = 26,426 × 26,426
  4. Step 4: Simplify right side
    16,846x = 698,333,476
  5. Step 5: Solve for x
    x = 698,333,476/16,846
  6. Step 6: Final answer
    x = 41,453.96

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.