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Finding the Third Proportional to 28,546 and 60,169.50

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Solution

The third proportional to 28,546 and 60,169.50 is: 126,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,546 : 60,169.50 = 60,169.50 : x
  2. Step 2: Convert to fraction form
    28,546/60,169.50 = 60,169.50/x
  3. Step 3: Cross multiply
    28,546x = 60,169.50 × 60,169.50
  4. Step 4: Simplify right side
    28,546x = 3,620,368,730.25
  5. Step 5: Solve for x
    x = 3,620,368,730.25/28,546
  6. Step 6: Final answer
    x = 126,825.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.