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Finding the Third Proportional to 3,469 and 4,076.50

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Solution

The third proportional to 3,469 and 4,076.50 is: 4,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469 : 4,076.50 = 4,076.50 : x
  2. Step 2: Convert to fraction form
    3,469/4,076.50 = 4,076.50/x
  3. Step 3: Cross multiply
    3,469x = 4,076.50 × 4,076.50
  4. Step 4: Simplify right side
    3,469x = 16,617,852.25
  5. Step 5: Solve for x
    x = 16,617,852.25/3,469
  6. Step 6: Final answer
    x = 4,790.39

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.