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Finding the Third Proportional to 13,782.94 and 20,620.13

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Solution

The third proportional to 13,782.94 and 20,620.13 is: 30,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.94 : 20,620.13 = 20,620.13 : x
  2. Step 2: Convert to fraction form
    13,782.94/20,620.13 = 20,620.13/x
  3. Step 3: Cross multiply
    13,782.94x = 20,620.13 × 20,620.13
  4. Step 4: Simplify right side
    13,782.94x = 425,189,555.02
  5. Step 5: Solve for x
    x = 425,189,555.02/13,782.94
  6. Step 6: Final answer
    x = 30,848.98

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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.