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Finding the Third Proportional to 13,788 and 21,930

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Solution

The third proportional to 13,788 and 21,930 is: 34,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788 : 21,930 = 21,930 : x
  2. Step 2: Convert to fraction form
    13,788/21,930 = 21,930/x
  3. Step 3: Cross multiply
    13,788x = 21,930 × 21,930
  4. Step 4: Simplify right side
    13,788x = 480,924,900
  5. Step 5: Solve for x
    x = 480,924,900/13,788
  6. Step 6: Final answer
    x = 34,879.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.