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Finding the Third Proportional to 13,152.75 and 18,081.75

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Solution

The third proportional to 13,152.75 and 18,081.75 is: 24,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.75 : 18,081.75 = 18,081.75 : x
  2. Step 2: Convert to fraction form
    13,152.75/18,081.75 = 18,081.75/x
  3. Step 3: Cross multiply
    13,152.75x = 18,081.75 × 18,081.75
  4. Step 4: Simplify right side
    13,152.75x = 326,949,683.06
  5. Step 5: Solve for x
    x = 326,949,683.06/13,152.75
  6. Step 6: Final answer
    x = 24,857.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.