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Finding the Third Proportional to 27,253 and 58,805

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Solution

The third proportional to 27,253 and 58,805 is: 126,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,253 : 58,805 = 58,805 : x
  2. Step 2: Convert to fraction form
    27,253/58,805 = 58,805/x
  3. Step 3: Cross multiply
    27,253x = 58,805 × 58,805
  4. Step 4: Simplify right side
    27,253x = 3,458,028,025
  5. Step 5: Solve for x
    x = 3,458,028,025/27,253
  6. Step 6: Final answer
    x = 126,886.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.