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Finding the Third Proportional to 27,708.94 and 41,854.41

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Solution

The third proportional to 27,708.94 and 41,854.41 is: 63,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,708.94 : 41,854.41 = 41,854.41 : x
  2. Step 2: Convert to fraction form
    27,708.94/41,854.41 = 41,854.41/x
  3. Step 3: Cross multiply
    27,708.94x = 41,854.41 × 41,854.41
  4. Step 4: Simplify right side
    27,708.94x = 1,751,791,322.54
  5. Step 5: Solve for x
    x = 1,751,791,322.54/27,708.94
  6. Step 6: Final answer
    x = 63,221.17

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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.