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Finding the Third Proportional to 16,863 and 26,055

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Solution

The third proportional to 16,863 and 26,055 is: 40,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863 : 26,055 = 26,055 : x
  2. Step 2: Convert to fraction form
    16,863/26,055 = 26,055/x
  3. Step 3: Cross multiply
    16,863x = 26,055 × 26,055
  4. Step 4: Simplify right side
    16,863x = 678,863,025
  5. Step 5: Solve for x
    x = 678,863,025/16,863
  6. Step 6: Final answer
    x = 40,257.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.