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Finding the Third Proportional to 17,286.75 and 28,657.13

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Solution

The third proportional to 17,286.75 and 28,657.13 is: 47,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.75 : 28,657.13 = 28,657.13 : x
  2. Step 2: Convert to fraction form
    17,286.75/28,657.13 = 28,657.13/x
  3. Step 3: Cross multiply
    17,286.75x = 28,657.13 × 28,657.13
  4. Step 4: Simplify right side
    17,286.75x = 821,230,813.27
  5. Step 5: Solve for x
    x = 821,230,813.27/17,286.75
  6. Step 6: Final answer
    x = 47,506.37

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.