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Finding the Third Proportional to 27,743.06 and 42,305.63

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Solution

The third proportional to 27,743.06 and 42,305.63 is: 64,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,743.06 : 42,305.63 = 42,305.63 : x
  2. Step 2: Convert to fraction form
    27,743.06/42,305.63 = 42,305.63/x
  3. Step 3: Cross multiply
    27,743.06x = 42,305.63 × 42,305.63
  4. Step 4: Simplify right side
    27,743.06x = 1,789,765,906.64
  5. Step 5: Solve for x
    x = 1,789,765,906.64/27,743.06
  6. Step 6: Final answer
    x = 64,512.20

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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.