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Finding the Third Proportional to 14,160 and 31,974

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Solution

The third proportional to 14,160 and 31,974 is: 72,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160 : 31,974 = 31,974 : x
  2. Step 2: Convert to fraction form
    14,160/31,974 = 31,974/x
  3. Step 3: Cross multiply
    14,160x = 31,974 × 31,974
  4. Step 4: Simplify right side
    14,160x = 1,022,336,676
  5. Step 5: Solve for x
    x = 1,022,336,676/14,160
  6. Step 6: Final answer
    x = 72,198.92

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.