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Finding the Third Proportional to 39,486 and 93,212.75

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Solution

The third proportional to 39,486 and 93,212.75 is: 220,042.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,486 : 93,212.75 = 93,212.75 : x
  2. Step 2: Convert to fraction form
    39,486/93,212.75 = 93,212.75/x
  3. Step 3: Cross multiply
    39,486x = 93,212.75 × 93,212.75
  4. Step 4: Simplify right side
    39,486x = 8,688,616,762.56
  5. Step 5: Solve for x
    x = 8,688,616,762.56/39,486
  6. Step 6: Final answer
    x = 220,042.97

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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.