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Finding the Third Proportional to 17,258.25 and 25,644.38

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Solution

The third proportional to 17,258.25 and 25,644.38 is: 38,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,258.25 : 25,644.38 = 25,644.38 : x
  2. Step 2: Convert to fraction form
    17,258.25/25,644.38 = 25,644.38/x
  3. Step 3: Cross multiply
    17,258.25x = 25,644.38 × 25,644.38
  4. Step 4: Simplify right side
    17,258.25x = 657,633,969.14
  5. Step 5: Solve for x
    x = 657,633,969.14/17,258.25
  6. Step 6: Final answer
    x = 38,105.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.