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Finding the Third Proportional to 27,004 and 39,642

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Solution

The third proportional to 27,004 and 39,642 is: 58,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004 : 39,642 = 39,642 : x
  2. Step 2: Convert to fraction form
    27,004/39,642 = 39,642/x
  3. Step 3: Cross multiply
    27,004x = 39,642 × 39,642
  4. Step 4: Simplify right side
    27,004x = 1,571,488,164
  5. Step 5: Solve for x
    x = 1,571,488,164/27,004
  6. Step 6: Final answer
    x = 58,194.64

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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.