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Finding the Third Proportional to 17,019.75 and 27,580.31

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Solution

The third proportional to 17,019.75 and 27,580.31 is: 44,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,019.75 : 27,580.31 = 27,580.31 : x
  2. Step 2: Convert to fraction form
    17,019.75/27,580.31 = 27,580.31/x
  3. Step 3: Cross multiply
    17,019.75x = 27,580.31 × 27,580.31
  4. Step 4: Simplify right side
    17,019.75x = 760,673,637.60
  5. Step 5: Solve for x
    x = 760,673,637.60/17,019.75
  6. Step 6: Final answer
    x = 44,693.58

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.