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Finding the Third Proportional to 40,693.13 and 84,504.75

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Solution

The third proportional to 40,693.13 and 84,504.75 is: 175,485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,693.13 : 84,504.75 = 84,504.75 : x
  2. Step 2: Convert to fraction form
    40,693.13/84,504.75 = 84,504.75/x
  3. Step 3: Cross multiply
    40,693.13x = 84,504.75 × 84,504.75
  4. Step 4: Simplify right side
    40,693.13x = 7,141,052,772.56
  5. Step 5: Solve for x
    x = 7,141,052,772.56/40,693.13
  6. Step 6: Final answer
    x = 175,485.48

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Why These Related Problems?

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