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Finding the Third Proportional to 19,974 and 43,472

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Solution

The third proportional to 19,974 and 43,472 is: 94,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974 : 43,472 = 43,472 : x
  2. Step 2: Convert to fraction form
    19,974/43,472 = 43,472/x
  3. Step 3: Cross multiply
    19,974x = 43,472 × 43,472
  4. Step 4: Simplify right side
    19,974x = 1,889,814,784
  5. Step 5: Solve for x
    x = 1,889,814,784/19,974
  6. Step 6: Final answer
    x = 94,613.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.