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Finding the Third Proportional to 13,944.66 and 19,877.91

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Solution

The third proportional to 13,944.66 and 19,877.91 is: 28,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944.66 : 19,877.91 = 19,877.91 : x
  2. Step 2: Convert to fraction form
    13,944.66/19,877.91 = 19,877.91/x
  3. Step 3: Cross multiply
    13,944.66x = 19,877.91 × 19,877.91
  4. Step 4: Simplify right side
    13,944.66x = 395,131,156.88
  5. Step 5: Solve for x
    x = 395,131,156.88/13,944.66
  6. Step 6: Final answer
    x = 28,335.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.