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Finding the Third Proportional to 16,926 and 27,029

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Solution

The third proportional to 16,926 and 27,029 is: 43,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,926 : 27,029 = 27,029 : x
  2. Step 2: Convert to fraction form
    16,926/27,029 = 27,029/x
  3. Step 3: Cross multiply
    16,926x = 27,029 × 27,029
  4. Step 4: Simplify right side
    16,926x = 730,566,841
  5. Step 5: Solve for x
    x = 730,566,841/16,926
  6. Step 6: Final answer
    x = 43,162.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.