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Finding the Third Proportional to 12,073.10 and 18,468.49

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Solution

The third proportional to 12,073.10 and 18,468.49 is: 28,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.10 : 18,468.49 = 18,468.49 : x
  2. Step 2: Convert to fraction form
    12,073.10/18,468.49 = 18,468.49/x
  3. Step 3: Cross multiply
    12,073.10x = 18,468.49 × 18,468.49
  4. Step 4: Simplify right side
    12,073.10x = 341,085,203.68
  5. Step 5: Solve for x
    x = 341,085,203.68/12,073.10
  6. Step 6: Final answer
    x = 28,251.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.