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Finding the Third Proportional to 14,295 and 30,974

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Solution

The third proportional to 14,295 and 30,974 is: 67,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,295 : 30,974 = 30,974 : x
  2. Step 2: Convert to fraction form
    14,295/30,974 = 30,974/x
  3. Step 3: Cross multiply
    14,295x = 30,974 × 30,974
  4. Step 4: Simplify right side
    14,295x = 959,388,676
  5. Step 5: Solve for x
    x = 959,388,676/14,295
  6. Step 6: Final answer
    x = 67,113.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.