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Finding the Third Proportional to 15,405.75 and 31,979.25

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Solution

The third proportional to 15,405.75 and 31,979.25 is: 66,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405.75 : 31,979.25 = 31,979.25 : x
  2. Step 2: Convert to fraction form
    15,405.75/31,979.25 = 31,979.25/x
  3. Step 3: Cross multiply
    15,405.75x = 31,979.25 × 31,979.25
  4. Step 4: Simplify right side
    15,405.75x = 1,022,672,430.56
  5. Step 5: Solve for x
    x = 1,022,672,430.56/15,405.75
  6. Step 6: Final answer
    x = 66,382.52

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.