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Finding the Third Proportional to 27,104 and 65,292

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Solution

The third proportional to 27,104 and 65,292 is: 157,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,104 : 65,292 = 65,292 : x
  2. Step 2: Convert to fraction form
    27,104/65,292 = 65,292/x
  3. Step 3: Cross multiply
    27,104x = 65,292 × 65,292
  4. Step 4: Simplify right side
    27,104x = 4,263,045,264
  5. Step 5: Solve for x
    x = 4,263,045,264/27,104
  6. Step 6: Final answer
    x = 157,284.73

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.