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Finding the Third Proportional to 40,019.06 and 82,665.56

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Solution

The third proportional to 40,019.06 and 82,665.56 is: 170,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,019.06 : 82,665.56 = 82,665.56 : x
  2. Step 2: Convert to fraction form
    40,019.06/82,665.56 = 82,665.56/x
  3. Step 3: Cross multiply
    40,019.06x = 82,665.56 × 82,665.56
  4. Step 4: Simplify right side
    40,019.06x = 6,833,595,223.44
  5. Step 5: Solve for x
    x = 6,833,595,223.44/40,019.06
  6. Step 6: Final answer
    x = 170,758.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.