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Finding the Third Proportional to 27,009 and 39,717

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Solution

The third proportional to 27,009 and 39,717 is: 58,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009 : 39,717 = 39,717 : x
  2. Step 2: Convert to fraction form
    27,009/39,717 = 39,717/x
  3. Step 3: Cross multiply
    27,009x = 39,717 × 39,717
  4. Step 4: Simplify right side
    27,009x = 1,577,440,089
  5. Step 5: Solve for x
    x = 1,577,440,089/27,009
  6. Step 6: Final answer
    x = 58,404.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.