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Finding the Third Proportional to 39,246.40 and 84,186.21

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Solution

The third proportional to 39,246.40 and 84,186.21 is: 180,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,246.40 : 84,186.21 = 84,186.21 : x
  2. Step 2: Convert to fraction form
    39,246.40/84,186.21 = 84,186.21/x
  3. Step 3: Cross multiply
    39,246.40x = 84,186.21 × 84,186.21
  4. Step 4: Simplify right side
    39,246.40x = 7,087,318,112.01
  5. Step 5: Solve for x
    x = 7,087,318,112.01/39,246.40
  6. Step 6: Final answer
    x = 180,585.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.