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Finding the Third Proportional to 27,021 and 58,914

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Solution

The third proportional to 27,021 and 58,914 is: 128,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,021 : 58,914 = 58,914 : x
  2. Step 2: Convert to fraction form
    27,021/58,914 = 58,914/x
  3. Step 3: Cross multiply
    27,021x = 58,914 × 58,914
  4. Step 4: Simplify right side
    27,021x = 3,470,859,396
  5. Step 5: Solve for x
    x = 3,470,859,396/27,021
  6. Step 6: Final answer
    x = 128,450.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.