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Finding the Third Proportional to 27,045 and 58,251

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Solution

The third proportional to 27,045 and 58,251 is: 125,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,045 : 58,251 = 58,251 : x
  2. Step 2: Convert to fraction form
    27,045/58,251 = 58,251/x
  3. Step 3: Cross multiply
    27,045x = 58,251 × 58,251
  4. Step 4: Simplify right side
    27,045x = 3,393,179,001
  5. Step 5: Solve for x
    x = 3,393,179,001/27,045
  6. Step 6: Final answer
    x = 125,464.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.