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Finding the Third Proportional to 6,309 and 9,977

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Solution

The third proportional to 6,309 and 9,977 is: 15,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309 : 9,977 = 9,977 : x
  2. Step 2: Convert to fraction form
    6,309/9,977 = 9,977/x
  3. Step 3: Cross multiply
    6,309x = 9,977 × 9,977
  4. Step 4: Simplify right side
    6,309x = 99,540,529
  5. Step 5: Solve for x
    x = 99,540,529/6,309
  6. Step 6: Final answer
    x = 15,777.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.