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Finding the Third Proportional to 12,089.25 and 18,682.31

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Solution

The third proportional to 12,089.25 and 18,682.31 is: 28,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.25 : 18,682.31 = 18,682.31 : x
  2. Step 2: Convert to fraction form
    12,089.25/18,682.31 = 18,682.31/x
  3. Step 3: Cross multiply
    12,089.25x = 18,682.31 × 18,682.31
  4. Step 4: Simplify right side
    12,089.25x = 349,028,800.35
  5. Step 5: Solve for x
    x = 349,028,800.35/12,089.25
  6. Step 6: Final answer
    x = 28,871.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.