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Finding the Third Proportional to 17,268.75 and 20,002.50

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Solution

The third proportional to 17,268.75 and 20,002.50 is: 23,169.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,268.75 : 20,002.50 = 20,002.50 : x
  2. Step 2: Convert to fraction form
    17,268.75/20,002.50 = 20,002.50/x
  3. Step 3: Cross multiply
    17,268.75x = 20,002.50 × 20,002.50
  4. Step 4: Simplify right side
    17,268.75x = 400,100,006.25
  5. Step 5: Solve for x
    x = 400,100,006.25/17,268.75
  6. Step 6: Final answer
    x = 23,169.02

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.