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Finding the Third Proportional to 27,476 and 56,257

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Solution

The third proportional to 27,476 and 56,257 is: 115,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,476 : 56,257 = 56,257 : x
  2. Step 2: Convert to fraction form
    27,476/56,257 = 56,257/x
  3. Step 3: Cross multiply
    27,476x = 56,257 × 56,257
  4. Step 4: Simplify right side
    27,476x = 3,164,850,049
  5. Step 5: Solve for x
    x = 3,164,850,049/27,476
  6. Step 6: Final answer
    x = 115,185.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.