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Finding the Third Proportional to 25,977 and 40,695

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Solution

The third proportional to 25,977 and 40,695 is: 63,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,977 : 40,695 = 40,695 : x
  2. Step 2: Convert to fraction form
    25,977/40,695 = 40,695/x
  3. Step 3: Cross multiply
    25,977x = 40,695 × 40,695
  4. Step 4: Simplify right side
    25,977x = 1,656,083,025
  5. Step 5: Solve for x
    x = 1,656,083,025/25,977
  6. Step 6: Final answer
    x = 63,751.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.