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Finding the Third Proportional to 16,449 and 26,721

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Solution

The third proportional to 16,449 and 26,721 is: 43,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449 : 26,721 = 26,721 : x
  2. Step 2: Convert to fraction form
    16,449/26,721 = 26,721/x
  3. Step 3: Cross multiply
    16,449x = 26,721 × 26,721
  4. Step 4: Simplify right side
    16,449x = 714,011,841
  5. Step 5: Solve for x
    x = 714,011,841/16,449
  6. Step 6: Final answer
    x = 43,407.61

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.