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Finding the Third Proportional to 39,946.13 and 87,042.75

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Solution

The third proportional to 39,946.13 and 87,042.75 is: 189,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,946.13 : 87,042.75 = 87,042.75 : x
  2. Step 2: Convert to fraction form
    39,946.13/87,042.75 = 87,042.75/x
  3. Step 3: Cross multiply
    39,946.13x = 87,042.75 × 87,042.75
  4. Step 4: Simplify right side
    39,946.13x = 7,576,440,327.56
  5. Step 5: Solve for x
    x = 7,576,440,327.56/39,946.13
  6. Step 6: Final answer
    x = 189,666.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.