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Finding the Third Proportional to 25,976 and 40,296

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Solution

The third proportional to 25,976 and 40,296 is: 62,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,976 : 40,296 = 40,296 : x
  2. Step 2: Convert to fraction form
    25,976/40,296 = 40,296/x
  3. Step 3: Cross multiply
    25,976x = 40,296 × 40,296
  4. Step 4: Simplify right side
    25,976x = 1,623,767,616
  5. Step 5: Solve for x
    x = 1,623,767,616/25,976
  6. Step 6: Final answer
    x = 62,510.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.