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Finding the Third Proportional to 12,193.03 and 18,452.81

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Solution

The third proportional to 12,193.03 and 18,452.81 is: 27,926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.03 : 18,452.81 = 18,452.81 : x
  2. Step 2: Convert to fraction form
    12,193.03/18,452.81 = 18,452.81/x
  3. Step 3: Cross multiply
    12,193.03x = 18,452.81 × 18,452.81
  4. Step 4: Simplify right side
    12,193.03x = 340,506,289.16
  5. Step 5: Solve for x
    x = 340,506,289.16/12,193.03
  6. Step 6: Final answer
    x = 27,926.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.