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Finding the Third Proportional to 27,999 and 65,421

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Solution

The third proportional to 27,999 and 65,421 is: 152,859.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,999 : 65,421 = 65,421 : x
  2. Step 2: Convert to fraction form
    27,999/65,421 = 65,421/x
  3. Step 3: Cross multiply
    27,999x = 65,421 × 65,421
  4. Step 4: Simplify right side
    27,999x = 4,279,907,241
  5. Step 5: Solve for x
    x = 4,279,907,241/27,999
  6. Step 6: Final answer
    x = 152,859.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.