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Finding the Third Proportional to 30,977 and 65,950

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Solution

The third proportional to 30,977 and 65,950 is: 140,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,977 : 65,950 = 65,950 : x
  2. Step 2: Convert to fraction form
    30,977/65,950 = 65,950/x
  3. Step 3: Cross multiply
    30,977x = 65,950 × 65,950
  4. Step 4: Simplify right side
    30,977x = 4,349,402,500
  5. Step 5: Solve for x
    x = 4,349,402,500/30,977
  6. Step 6: Final answer
    x = 140,407.48

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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.