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Finding the Third Proportional to 17,829 and 27,730

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Solution

The third proportional to 17,829 and 27,730 is: 43,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829 : 27,730 = 27,730 : x
  2. Step 2: Convert to fraction form
    17,829/27,730 = 27,730/x
  3. Step 3: Cross multiply
    17,829x = 27,730 × 27,730
  4. Step 4: Simplify right side
    17,829x = 768,952,900
  5. Step 5: Solve for x
    x = 768,952,900/17,829
  6. Step 6: Final answer
    x = 43,129.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.