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Finding the Third Proportional to 39,836.81 and 86,918.06

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Solution

The third proportional to 39,836.81 and 86,918.06 is: 189,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,836.81 : 86,918.06 = 86,918.06 : x
  2. Step 2: Convert to fraction form
    39,836.81/86,918.06 = 86,918.06/x
  3. Step 3: Cross multiply
    39,836.81x = 86,918.06 × 86,918.06
  4. Step 4: Simplify right side
    39,836.81x = 7,554,749,588.75
  5. Step 5: Solve for x
    x = 7,554,749,588.75/39,836.81
  6. Step 6: Final answer
    x = 189,642.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.