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Finding the Third Proportional to 13,992.38 and 30,199.88

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Solution

The third proportional to 13,992.38 and 30,199.88 is: 65,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.38 : 30,199.88 = 30,199.88 : x
  2. Step 2: Convert to fraction form
    13,992.38/30,199.88 = 30,199.88/x
  3. Step 3: Cross multiply
    13,992.38x = 30,199.88 × 30,199.88
  4. Step 4: Simplify right side
    13,992.38x = 912,032,450.02
  5. Step 5: Solve for x
    x = 912,032,450.02/13,992.38
  6. Step 6: Final answer
    x = 65,180.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.