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Finding the Third Proportional to 27,841.50 and 42,003

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Solution

The third proportional to 27,841.50 and 42,003 is: 63,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.50 : 42,003 = 42,003 : x
  2. Step 2: Convert to fraction form
    27,841.50/42,003 = 42,003/x
  3. Step 3: Cross multiply
    27,841.50x = 42,003 × 42,003
  4. Step 4: Simplify right side
    27,841.50x = 1,764,252,009
  5. Step 5: Solve for x
    x = 1,764,252,009/27,841.50
  6. Step 6: Final answer
    x = 63,367.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.