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Finding the Third Proportional to 39,341 and 84,937

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Solution

The third proportional to 39,341 and 84,937 is: 183,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,341 : 84,937 = 84,937 : x
  2. Step 2: Convert to fraction form
    39,341/84,937 = 84,937/x
  3. Step 3: Cross multiply
    39,341x = 84,937 × 84,937
  4. Step 4: Simplify right side
    39,341x = 7,214,293,969
  5. Step 5: Solve for x
    x = 7,214,293,969/39,341
  6. Step 6: Final answer
    x = 183,378.51

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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.