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Finding the Third Proportional to 39,619.13 and 82,527.19

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Solution

The third proportional to 39,619.13 and 82,527.19 is: 171,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,619.13 : 82,527.19 = 82,527.19 : x
  2. Step 2: Convert to fraction form
    39,619.13/82,527.19 = 82,527.19/x
  3. Step 3: Cross multiply
    39,619.13x = 82,527.19 × 82,527.19
  4. Step 4: Simplify right side
    39,619.13x = 6,810,736,676.66
  5. Step 5: Solve for x
    x = 6,810,736,676.66/39,619.13
  6. Step 6: Final answer
    x = 171,905.28

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.