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Finding the Third Proportional to 5,190.75 and 9,293.06

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Solution

The third proportional to 5,190.75 and 9,293.06 is: 16,637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.75 : 9,293.06 = 9,293.06 : x
  2. Step 2: Convert to fraction form
    5,190.75/9,293.06 = 9,293.06/x
  3. Step 3: Cross multiply
    5,190.75x = 9,293.06 × 9,293.06
  4. Step 4: Simplify right side
    5,190.75x = 86,361,010.63
  5. Step 5: Solve for x
    x = 86,361,010.63/5,190.75
  6. Step 6: Final answer
    x = 16,637.48

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.