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Finding the Third Proportional to 17,639.25 and 23,515.50

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Solution

The third proportional to 17,639.25 and 23,515.50 is: 31,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.25 : 23,515.50 = 23,515.50 : x
  2. Step 2: Convert to fraction form
    17,639.25/23,515.50 = 23,515.50/x
  3. Step 3: Cross multiply
    17,639.25x = 23,515.50 × 23,515.50
  4. Step 4: Simplify right side
    17,639.25x = 552,978,740.25
  5. Step 5: Solve for x
    x = 552,978,740.25/17,639.25
  6. Step 6: Final answer
    x = 31,349.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.