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Finding the Third Proportional to 14,193.56 and 20,367.56

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Solution

The third proportional to 14,193.56 and 20,367.56 is: 29,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.56 : 20,367.56 = 20,367.56 : x
  2. Step 2: Convert to fraction form
    14,193.56/20,367.56 = 20,367.56/x
  3. Step 3: Cross multiply
    14,193.56x = 20,367.56 × 20,367.56
  4. Step 4: Simplify right side
    14,193.56x = 414,837,602.19
  5. Step 5: Solve for x
    x = 414,837,602.19/14,193.56
  6. Step 6: Final answer
    x = 29,227.17

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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.