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Finding the Third Proportional to 25,960 and 60,796

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Solution

The third proportional to 25,960 and 60,796 is: 142,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,960 : 60,796 = 60,796 : x
  2. Step 2: Convert to fraction form
    25,960/60,796 = 60,796/x
  3. Step 3: Cross multiply
    25,960x = 60,796 × 60,796
  4. Step 4: Simplify right side
    25,960x = 3,696,153,616
  5. Step 5: Solve for x
    x = 3,696,153,616/25,960
  6. Step 6: Final answer
    x = 142,378.80

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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.