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Finding the Third Proportional to 27,378 and 59,670

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Solution

The third proportional to 27,378 and 59,670 is: 130,050

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378 : 59,670 = 59,670 : x
  2. Step 2: Convert to fraction form
    27,378/59,670 = 59,670/x
  3. Step 3: Cross multiply
    27,378x = 59,670 × 59,670
  4. Step 4: Simplify right side
    27,378x = 3,560,508,900
  5. Step 5: Solve for x
    x = 3,560,508,900/27,378
  6. Step 6: Final answer
    x = 130,050

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.