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Finding the Third Proportional to 27,442 and 56,182

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Solution

The third proportional to 27,442 and 56,182 is: 115,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442 : 56,182 = 56,182 : x
  2. Step 2: Convert to fraction form
    27,442/56,182 = 56,182/x
  3. Step 3: Cross multiply
    27,442x = 56,182 × 56,182
  4. Step 4: Simplify right side
    27,442x = 3,156,417,124
  5. Step 5: Solve for x
    x = 3,156,417,124/27,442
  6. Step 6: Final answer
    x = 115,021.40

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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.