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Finding the Third Proportional to 25,708 and 54,696

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Solution

The third proportional to 25,708 and 54,696 is: 116,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,708 : 54,696 = 54,696 : x
  2. Step 2: Convert to fraction form
    25,708/54,696 = 54,696/x
  3. Step 3: Cross multiply
    25,708x = 54,696 × 54,696
  4. Step 4: Simplify right side
    25,708x = 2,991,652,416
  5. Step 5: Solve for x
    x = 2,991,652,416/25,708
  6. Step 6: Final answer
    x = 116,370.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.