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Finding the Third Proportional to 40,285.50 and 86,976.75

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Solution

The third proportional to 40,285.50 and 86,976.75 is: 187,783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,285.50 : 86,976.75 = 86,976.75 : x
  2. Step 2: Convert to fraction form
    40,285.50/86,976.75 = 86,976.75/x
  3. Step 3: Cross multiply
    40,285.50x = 86,976.75 × 86,976.75
  4. Step 4: Simplify right side
    40,285.50x = 7,564,955,040.56
  5. Step 5: Solve for x
    x = 7,564,955,040.56/40,285.50
  6. Step 6: Final answer
    x = 187,783.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.