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Finding the Third Proportional to 27,306 and 57,526

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Solution

The third proportional to 27,306 and 57,526 is: 121,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,306 : 57,526 = 57,526 : x
  2. Step 2: Convert to fraction form
    27,306/57,526 = 57,526/x
  3. Step 3: Cross multiply
    27,306x = 57,526 × 57,526
  4. Step 4: Simplify right side
    27,306x = 3,309,240,676
  5. Step 5: Solve for x
    x = 3,309,240,676/27,306
  6. Step 6: Final answer
    x = 121,190.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.