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Finding the Third Proportional to 39,795.75 and 86,973.75

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Solution

The third proportional to 39,795.75 and 86,973.75 is: 190,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,795.75 : 86,973.75 = 86,973.75 : x
  2. Step 2: Convert to fraction form
    39,795.75/86,973.75 = 86,973.75/x
  3. Step 3: Cross multiply
    39,795.75x = 86,973.75 × 86,973.75
  4. Step 4: Simplify right side
    39,795.75x = 7,564,433,189.06
  5. Step 5: Solve for x
    x = 7,564,433,189.06/39,795.75
  6. Step 6: Final answer
    x = 190,081.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.