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Finding the Third Proportional to 4,334 and 9,977

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Solution

The third proportional to 4,334 and 9,977 is: 22,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334 : 9,977 = 9,977 : x
  2. Step 2: Convert to fraction form
    4,334/9,977 = 9,977/x
  3. Step 3: Cross multiply
    4,334x = 9,977 × 9,977
  4. Step 4: Simplify right side
    4,334x = 99,540,529
  5. Step 5: Solve for x
    x = 99,540,529/4,334
  6. Step 6: Final answer
    x = 22,967.36

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.