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Finding the Third Proportional to 37,868.06 and 82,005.19

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Solution

The third proportional to 37,868.06 and 82,005.19 is: 177,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,868.06 : 82,005.19 = 82,005.19 : x
  2. Step 2: Convert to fraction form
    37,868.06/82,005.19 = 82,005.19/x
  3. Step 3: Cross multiply
    37,868.06x = 82,005.19 × 82,005.19
  4. Step 4: Simplify right side
    37,868.06x = 6,724,850,776.91
  5. Step 5: Solve for x
    x = 6,724,850,776.91/37,868.06
  6. Step 6: Final answer
    x = 177,586.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.