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Finding the Third Proportional to 18,468 and 37,800

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Solution

The third proportional to 18,468 and 37,800 is: 77,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468 : 37,800 = 37,800 : x
  2. Step 2: Convert to fraction form
    18,468/37,800 = 37,800/x
  3. Step 3: Cross multiply
    18,468x = 37,800 × 37,800
  4. Step 4: Simplify right side
    18,468x = 1,428,840,000
  5. Step 5: Solve for x
    x = 1,428,840,000/18,468
  6. Step 6: Final answer
    x = 77,368.42

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.