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Finding the Third Proportional to 39,100 and 84,284

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Solution

The third proportional to 39,100 and 84,284 is: 181,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,100 : 84,284 = 84,284 : x
  2. Step 2: Convert to fraction form
    39,100/84,284 = 84,284/x
  3. Step 3: Cross multiply
    39,100x = 84,284 × 84,284
  4. Step 4: Simplify right side
    39,100x = 7,103,792,656
  5. Step 5: Solve for x
    x = 7,103,792,656/39,100
  6. Step 6: Final answer
    x = 181,682.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.