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Finding the Third Proportional to 19,834 and 43,224

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Solution

The third proportional to 19,834 and 43,224 is: 94,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834 : 43,224 = 43,224 : x
  2. Step 2: Convert to fraction form
    19,834/43,224 = 43,224/x
  3. Step 3: Cross multiply
    19,834x = 43,224 × 43,224
  4. Step 4: Simplify right side
    19,834x = 1,868,314,176
  5. Step 5: Solve for x
    x = 1,868,314,176/19,834
  6. Step 6: Final answer
    x = 94,197.55

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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.