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Finding the Third Proportional to 28,025 and 61,234

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Solution

The third proportional to 28,025 and 61,234 is: 133,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,025 : 61,234 = 61,234 : x
  2. Step 2: Convert to fraction form
    28,025/61,234 = 61,234/x
  3. Step 3: Cross multiply
    28,025x = 61,234 × 61,234
  4. Step 4: Simplify right side
    28,025x = 3,749,602,756
  5. Step 5: Solve for x
    x = 3,749,602,756/28,025
  6. Step 6: Final answer
    x = 133,794.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.