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Finding the Third Proportional to 40,698.75 and 87,238.50

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Solution

The third proportional to 40,698.75 and 87,238.50 is: 186,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,698.75 : 87,238.50 = 87,238.50 : x
  2. Step 2: Convert to fraction form
    40,698.75/87,238.50 = 87,238.50/x
  3. Step 3: Cross multiply
    40,698.75x = 87,238.50 × 87,238.50
  4. Step 4: Simplify right side
    40,698.75x = 7,610,555,882.25
  5. Step 5: Solve for x
    x = 7,610,555,882.25/40,698.75
  6. Step 6: Final answer
    x = 186,997.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.