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Finding the Third Proportional to 15,954 and 34,977

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Solution

The third proportional to 15,954 and 34,977 is: 76,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954 : 34,977 = 34,977 : x
  2. Step 2: Convert to fraction form
    15,954/34,977 = 34,977/x
  3. Step 3: Cross multiply
    15,954x = 34,977 × 34,977
  4. Step 4: Simplify right side
    15,954x = 1,223,390,529
  5. Step 5: Solve for x
    x = 1,223,390,529/15,954
  6. Step 6: Final answer
    x = 76,682.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.