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Finding the Third Proportional to 27,166 and 56,024

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Solution

The third proportional to 27,166 and 56,024 is: 115,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,166 : 56,024 = 56,024 : x
  2. Step 2: Convert to fraction form
    27,166/56,024 = 56,024/x
  3. Step 3: Cross multiply
    27,166x = 56,024 × 56,024
  4. Step 4: Simplify right side
    27,166x = 3,138,688,576
  5. Step 5: Solve for x
    x = 3,138,688,576/27,166
  6. Step 6: Final answer
    x = 115,537.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.