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Finding the Third Proportional to 27,082 and 63,024

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Solution

The third proportional to 27,082 and 63,024 is: 146,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082 : 63,024 = 63,024 : x
  2. Step 2: Convert to fraction form
    27,082/63,024 = 63,024/x
  3. Step 3: Cross multiply
    27,082x = 63,024 × 63,024
  4. Step 4: Simplify right side
    27,082x = 3,972,024,576
  5. Step 5: Solve for x
    x = 3,972,024,576/27,082
  6. Step 6: Final answer
    x = 146,666.59

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.