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Finding the Third Proportional to 27,156 and 58,011

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Solution

The third proportional to 27,156 and 58,011 is: 123,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,156 : 58,011 = 58,011 : x
  2. Step 2: Convert to fraction form
    27,156/58,011 = 58,011/x
  3. Step 3: Cross multiply
    27,156x = 58,011 × 58,011
  4. Step 4: Simplify right side
    27,156x = 3,365,276,121
  5. Step 5: Solve for x
    x = 3,365,276,121/27,156
  6. Step 6: Final answer
    x = 123,923.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.