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Finding the Third Proportional to 12,465.14 and 18,747.07

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Solution

The third proportional to 12,465.14 and 18,747.07 is: 28,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.14 : 18,747.07 = 18,747.07 : x
  2. Step 2: Convert to fraction form
    12,465.14/18,747.07 = 18,747.07/x
  3. Step 3: Cross multiply
    12,465.14x = 18,747.07 × 18,747.07
  4. Step 4: Simplify right side
    12,465.14x = 351,452,645.30
  5. Step 5: Solve for x
    x = 351,452,645.30/12,465.14
  6. Step 6: Final answer
    x = 28,194.84

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