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Finding the Third Proportional to 12,551.44 and 18,827.81

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Solution

The third proportional to 12,551.44 and 18,827.81 is: 28,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551.44 : 18,827.81 = 18,827.81 : x
  2. Step 2: Convert to fraction form
    12,551.44/18,827.81 = 18,827.81/x
  3. Step 3: Cross multiply
    12,551.44x = 18,827.81 × 18,827.81
  4. Step 4: Simplify right side
    12,551.44x = 354,486,523.54
  5. Step 5: Solve for x
    x = 354,486,523.54/12,551.44
  6. Step 6: Final answer
    x = 28,242.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.