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Finding the Third Proportional to 39,266.75 and 92,684

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Solution

The third proportional to 39,266.75 and 92,684 is: 218,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,266.75 : 92,684 = 92,684 : x
  2. Step 2: Convert to fraction form
    39,266.75/92,684 = 92,684/x
  3. Step 3: Cross multiply
    39,266.75x = 92,684 × 92,684
  4. Step 4: Simplify right side
    39,266.75x = 8,590,323,856
  5. Step 5: Solve for x
    x = 8,590,323,856/39,266.75
  6. Step 6: Final answer
    x = 218,768.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.