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Finding the Third Proportional to 39,534 and 86,844

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Solution

The third proportional to 39,534 and 86,844 is: 190,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,534 : 86,844 = 86,844 : x
  2. Step 2: Convert to fraction form
    39,534/86,844 = 86,844/x
  3. Step 3: Cross multiply
    39,534x = 86,844 × 86,844
  4. Step 4: Simplify right side
    39,534x = 7,541,880,336
  5. Step 5: Solve for x
    x = 7,541,880,336/39,534
  6. Step 6: Final answer
    x = 190,769.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.