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Finding the Third Proportional to 27,129.94 and 42,003.56

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Solution

The third proportional to 27,129.94 and 42,003.56 is: 65,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,129.94 : 42,003.56 = 42,003.56 : x
  2. Step 2: Convert to fraction form
    27,129.94/42,003.56 = 42,003.56/x
  3. Step 3: Cross multiply
    27,129.94x = 42,003.56 × 42,003.56
  4. Step 4: Simplify right side
    27,129.94x = 1,764,299,262.69
  5. Step 5: Solve for x
    x = 1,764,299,262.69/27,129.94
  6. Step 6: Final answer
    x = 65,031.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.