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Finding the Third Proportional to 27,296 and 59,263

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Solution

The third proportional to 27,296 and 59,263 is: 128,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,296 : 59,263 = 59,263 : x
  2. Step 2: Convert to fraction form
    27,296/59,263 = 59,263/x
  3. Step 3: Cross multiply
    27,296x = 59,263 × 59,263
  4. Step 4: Simplify right side
    27,296x = 3,512,103,169
  5. Step 5: Solve for x
    x = 3,512,103,169/27,296
  6. Step 6: Final answer
    x = 128,667.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.