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Finding the Third Proportional to 18,319 and 27,830

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Solution

The third proportional to 18,319 and 27,830 is: 42,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,319 : 27,830 = 27,830 : x
  2. Step 2: Convert to fraction form
    18,319/27,830 = 27,830/x
  3. Step 3: Cross multiply
    18,319x = 27,830 × 27,830
  4. Step 4: Simplify right side
    18,319x = 774,508,900
  5. Step 5: Solve for x
    x = 774,508,900/18,319
  6. Step 6: Final answer
    x = 42,278.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.