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Finding the Third Proportional to 17,967 and 28,480.50

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Solution

The third proportional to 17,967 and 28,480.50 is: 45,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967 : 28,480.50 = 28,480.50 : x
  2. Step 2: Convert to fraction form
    17,967/28,480.50 = 28,480.50/x
  3. Step 3: Cross multiply
    17,967x = 28,480.50 × 28,480.50
  4. Step 4: Simplify right side
    17,967x = 811,138,880.25
  5. Step 5: Solve for x
    x = 811,138,880.25/17,967
  6. Step 6: Final answer
    x = 45,146.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.