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Finding the Third Proportional to 11,614 and 17,529.75

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Solution

The third proportional to 11,614 and 17,529.75 is: 26,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614 : 17,529.75 = 17,529.75 : x
  2. Step 2: Convert to fraction form
    11,614/17,529.75 = 17,529.75/x
  3. Step 3: Cross multiply
    11,614x = 17,529.75 × 17,529.75
  4. Step 4: Simplify right side
    11,614x = 307,292,135.06
  5. Step 5: Solve for x
    x = 307,292,135.06/11,614
  6. Step 6: Final answer
    x = 26,458.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.