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Finding the Third Proportional to 28,096.50 and 61,701

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Solution

The third proportional to 28,096.50 and 61,701 is: 135,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,096.50 : 61,701 = 61,701 : x
  2. Step 2: Convert to fraction form
    28,096.50/61,701 = 61,701/x
  3. Step 3: Cross multiply
    28,096.50x = 61,701 × 61,701
  4. Step 4: Simplify right side
    28,096.50x = 3,807,013,401
  5. Step 5: Solve for x
    x = 3,807,013,401/28,096.50
  6. Step 6: Final answer
    x = 135,497.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.