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Finding the Third Proportional to 27,015 and 58,026

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Solution

The third proportional to 27,015 and 58,026 is: 124,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,015 : 58,026 = 58,026 : x
  2. Step 2: Convert to fraction form
    27,015/58,026 = 58,026/x
  3. Step 3: Cross multiply
    27,015x = 58,026 × 58,026
  4. Step 4: Simplify right side
    27,015x = 3,367,016,676
  5. Step 5: Solve for x
    x = 3,367,016,676/27,015
  6. Step 6: Final answer
    x = 124,635.08

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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.