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Finding the Third Proportional to 39,532.50 and 86,361

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Solution

The third proportional to 39,532.50 and 86,361 is: 188,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,532.50 : 86,361 = 86,361 : x
  2. Step 2: Convert to fraction form
    39,532.50/86,361 = 86,361/x
  3. Step 3: Cross multiply
    39,532.50x = 86,361 × 86,361
  4. Step 4: Simplify right side
    39,532.50x = 7,458,222,321
  5. Step 5: Solve for x
    x = 7,458,222,321/39,532.50
  6. Step 6: Final answer
    x = 188,660.53

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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.