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Finding the Third Proportional to 38,051.30 and 82,586.67

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Solution

The third proportional to 38,051.30 and 82,586.67 is: 179,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,051.30 : 82,586.67 = 82,586.67 : x
  2. Step 2: Convert to fraction form
    38,051.30/82,586.67 = 82,586.67/x
  3. Step 3: Cross multiply
    38,051.30x = 82,586.67 × 82,586.67
  4. Step 4: Simplify right side
    38,051.30x = 6,820,558,371.39
  5. Step 5: Solve for x
    x = 6,820,558,371.39/38,051.30
  6. Step 6: Final answer
    x = 179,246.41

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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.