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Finding the Third Proportional to 3,342.94 and 7,308.56

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Solution

The third proportional to 3,342.94 and 7,308.56 is: 15,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.94 : 7,308.56 = 7,308.56 : x
  2. Step 2: Convert to fraction form
    3,342.94/7,308.56 = 7,308.56/x
  3. Step 3: Cross multiply
    3,342.94x = 7,308.56 × 7,308.56
  4. Step 4: Simplify right side
    3,342.94x = 53,415,085.82
  5. Step 5: Solve for x
    x = 53,415,085.82/3,342.94
  6. Step 6: Final answer
    x = 15,978.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.