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Finding the Third Proportional to 18,684 and 27,307.25

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Solution

The third proportional to 18,684 and 27,307.25 is: 39,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684 : 27,307.25 = 27,307.25 : x
  2. Step 2: Convert to fraction form
    18,684/27,307.25 = 27,307.25/x
  3. Step 3: Cross multiply
    18,684x = 27,307.25 × 27,307.25
  4. Step 4: Simplify right side
    18,684x = 745,685,902.56
  5. Step 5: Solve for x
    x = 745,685,902.56/18,684
  6. Step 6: Final answer
    x = 39,910.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.