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Finding the Third Proportional to 11,953 and 26,265

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Solution

The third proportional to 11,953 and 26,265 is: 57,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953 : 26,265 = 26,265 : x
  2. Step 2: Convert to fraction form
    11,953/26,265 = 26,265/x
  3. Step 3: Cross multiply
    11,953x = 26,265 × 26,265
  4. Step 4: Simplify right side
    11,953x = 689,850,225
  5. Step 5: Solve for x
    x = 689,850,225/11,953
  6. Step 6: Final answer
    x = 57,713.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.