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Finding the Third Proportional to 11,865.38 and 17,615.25

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Solution

The third proportional to 11,865.38 and 17,615.25 is: 26,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.38 : 17,615.25 = 17,615.25 : x
  2. Step 2: Convert to fraction form
    11,865.38/17,615.25 = 17,615.25/x
  3. Step 3: Cross multiply
    11,865.38x = 17,615.25 × 17,615.25
  4. Step 4: Simplify right side
    11,865.38x = 310,297,032.56
  5. Step 5: Solve for x
    x = 310,297,032.56/11,865.38
  6. Step 6: Final answer
    x = 26,151.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.