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Finding the Third Proportional to 18,865 and 24,196

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Solution

The third proportional to 18,865 and 24,196 is: 31,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,865 : 24,196 = 24,196 : x
  2. Step 2: Convert to fraction form
    18,865/24,196 = 24,196/x
  3. Step 3: Cross multiply
    18,865x = 24,196 × 24,196
  4. Step 4: Simplify right side
    18,865x = 585,446,416
  5. Step 5: Solve for x
    x = 585,446,416/18,865
  6. Step 6: Final answer
    x = 31,033.47

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.