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Finding the Third Proportional to 14,877.38 and 20,400.38

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Solution

The third proportional to 14,877.38 and 20,400.38 is: 27,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,877.38 : 20,400.38 = 20,400.38 : x
  2. Step 2: Convert to fraction form
    14,877.38/20,400.38 = 20,400.38/x
  3. Step 3: Cross multiply
    14,877.38x = 20,400.38 × 20,400.38
  4. Step 4: Simplify right side
    14,877.38x = 416,175,300.14
  5. Step 5: Solve for x
    x = 416,175,300.14/14,877.38
  6. Step 6: Final answer
    x = 27,973.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.