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Finding the Third Proportional to 7,608.94 and 17,784.56

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Solution

The third proportional to 7,608.94 and 17,784.56 is: 41,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.94 : 17,784.56 = 17,784.56 : x
  2. Step 2: Convert to fraction form
    7,608.94/17,784.56 = 17,784.56/x
  3. Step 3: Cross multiply
    7,608.94x = 17,784.56 × 17,784.56
  4. Step 4: Simplify right side
    7,608.94x = 316,290,663.32
  5. Step 5: Solve for x
    x = 316,290,663.32/7,608.94
  6. Step 6: Final answer
    x = 41,568.31

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.