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Finding the Third Proportional to 9,378 and 13,977

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Solution

The third proportional to 9,378 and 13,977 is: 20,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378 : 13,977 = 13,977 : x
  2. Step 2: Convert to fraction form
    9,378/13,977 = 13,977/x
  3. Step 3: Cross multiply
    9,378x = 13,977 × 13,977
  4. Step 4: Simplify right side
    9,378x = 195,356,529
  5. Step 5: Solve for x
    x = 195,356,529/9,378
  6. Step 6: Final answer
    x = 20,831.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.