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Finding the Third Proportional to 39,996 and 86,046

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Solution

The third proportional to 39,996 and 86,046 is: 185,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,996 : 86,046 = 86,046 : x
  2. Step 2: Convert to fraction form
    39,996/86,046 = 86,046/x
  3. Step 3: Cross multiply
    39,996x = 86,046 × 86,046
  4. Step 4: Simplify right side
    39,996x = 7,403,914,116
  5. Step 5: Solve for x
    x = 7,403,914,116/39,996
  6. Step 6: Final answer
    x = 185,116.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.