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Finding the Third Proportional to 40,703.25 and 86,783

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Solution

The third proportional to 40,703.25 and 86,783 is: 185,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,703.25 : 86,783 = 86,783 : x
  2. Step 2: Convert to fraction form
    40,703.25/86,783 = 86,783/x
  3. Step 3: Cross multiply
    40,703.25x = 86,783 × 86,783
  4. Step 4: Simplify right side
    40,703.25x = 7,531,289,089
  5. Step 5: Solve for x
    x = 7,531,289,089/40,703.25
  6. Step 6: Final answer
    x = 185,029.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.