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Finding the Third Proportional to 13,500.11 and 18,173.74

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Solution

The third proportional to 13,500.11 and 18,173.74 is: 24,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.11 : 18,173.74 = 18,173.74 : x
  2. Step 2: Convert to fraction form
    13,500.11/18,173.74 = 18,173.74/x
  3. Step 3: Cross multiply
    13,500.11x = 18,173.74 × 18,173.74
  4. Step 4: Simplify right side
    13,500.11x = 330,284,905.10
  5. Step 5: Solve for x
    x = 330,284,905.10/13,500.11
  6. Step 6: Final answer
    x = 24,465.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.