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Finding the Third Proportional to 16,816 and 26,021

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Solution

The third proportional to 16,816 and 26,021 is: 40,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,816 : 26,021 = 26,021 : x
  2. Step 2: Convert to fraction form
    16,816/26,021 = 26,021/x
  3. Step 3: Cross multiply
    16,816x = 26,021 × 26,021
  4. Step 4: Simplify right side
    16,816x = 677,092,441
  5. Step 5: Solve for x
    x = 677,092,441/16,816
  6. Step 6: Final answer
    x = 40,264.77

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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.