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Finding the Third Proportional to 51,489.50 and 82,230.50

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Solution

The third proportional to 51,489.50 and 82,230.50 is: 131,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489.50 : 82,230.50 = 82,230.50 : x
  2. Step 2: Convert to fraction form
    51,489.50/82,230.50 = 82,230.50/x
  3. Step 3: Cross multiply
    51,489.50x = 82,230.50 × 82,230.50
  4. Step 4: Simplify right side
    51,489.50x = 6,761,855,130.25
  5. Step 5: Solve for x
    x = 6,761,855,130.25/51,489.50
  6. Step 6: Final answer
    x = 131,324.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.