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Finding the Third Proportional to 28,728 and 61,150.50

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Solution

The third proportional to 28,728 and 61,150.50 is: 130,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,728 : 61,150.50 = 61,150.50 : x
  2. Step 2: Convert to fraction form
    28,728/61,150.50 = 61,150.50/x
  3. Step 3: Cross multiply
    28,728x = 61,150.50 × 61,150.50
  4. Step 4: Simplify right side
    28,728x = 3,739,383,650.25
  5. Step 5: Solve for x
    x = 3,739,383,650.25/28,728
  6. Step 6: Final answer
    x = 130,165.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.