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Finding the Third Proportional to 10,196.50 and 22,576.75

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Solution

The third proportional to 10,196.50 and 22,576.75 is: 49,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.50 : 22,576.75 = 22,576.75 : x
  2. Step 2: Convert to fraction form
    10,196.50/22,576.75 = 22,576.75/x
  3. Step 3: Cross multiply
    10,196.50x = 22,576.75 × 22,576.75
  4. Step 4: Simplify right side
    10,196.50x = 509,709,640.56
  5. Step 5: Solve for x
    x = 509,709,640.56/10,196.50
  6. Step 6: Final answer
    x = 49,988.69

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.