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Finding the Third Proportional to 12,077.44 and 18,574.31

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Solution

The third proportional to 12,077.44 and 18,574.31 is: 28,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.44 : 18,574.31 = 18,574.31 : x
  2. Step 2: Convert to fraction form
    12,077.44/18,574.31 = 18,574.31/x
  3. Step 3: Cross multiply
    12,077.44x = 18,574.31 × 18,574.31
  4. Step 4: Simplify right side
    12,077.44x = 345,005,084.85
  5. Step 5: Solve for x
    x = 345,005,084.85/12,077.44
  6. Step 6: Final answer
    x = 28,566.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.