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Finding the Third Proportional to 14,374.25 and 19,793.63

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Solution

The third proportional to 14,374.25 and 19,793.63 is: 27,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374.25 : 19,793.63 = 19,793.63 : x
  2. Step 2: Convert to fraction form
    14,374.25/19,793.63 = 19,793.63/x
  3. Step 3: Cross multiply
    14,374.25x = 19,793.63 × 19,793.63
  4. Step 4: Simplify right side
    14,374.25x = 391,787,590.64
  5. Step 5: Solve for x
    x = 391,787,590.64/14,374.25
  6. Step 6: Final answer
    x = 27,256.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.