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Finding the Third Proportional to 17,318.25 and 23,197.50

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Solution

The third proportional to 17,318.25 and 23,197.50 is: 31,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,318.25 : 23,197.50 = 23,197.50 : x
  2. Step 2: Convert to fraction form
    17,318.25/23,197.50 = 23,197.50/x
  3. Step 3: Cross multiply
    17,318.25x = 23,197.50 × 23,197.50
  4. Step 4: Simplify right side
    17,318.25x = 538,124,006.25
  5. Step 5: Solve for x
    x = 538,124,006.25/17,318.25
  6. Step 6: Final answer
    x = 31,072.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.