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Finding the Third Proportional to 51,982.50 and 82,639.50

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Solution

The third proportional to 51,982.50 and 82,639.50 is: 131,376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982.50 : 82,639.50 = 82,639.50 : x
  2. Step 2: Convert to fraction form
    51,982.50/82,639.50 = 82,639.50/x
  3. Step 3: Cross multiply
    51,982.50x = 82,639.50 × 82,639.50
  4. Step 4: Simplify right side
    51,982.50x = 6,829,286,960.25
  5. Step 5: Solve for x
    x = 6,829,286,960.25/51,982.50
  6. Step 6: Final answer
    x = 131,376.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.