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Finding the Third Proportional to 14,616 and 31,974

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Solution

The third proportional to 14,616 and 31,974 is: 69,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616 : 31,974 = 31,974 : x
  2. Step 2: Convert to fraction form
    14,616/31,974 = 31,974/x
  3. Step 3: Cross multiply
    14,616x = 31,974 × 31,974
  4. Step 4: Simplify right side
    14,616x = 1,022,336,676
  5. Step 5: Solve for x
    x = 1,022,336,676/14,616
  6. Step 6: Final answer
    x = 69,946.41

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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.