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Finding the Third Proportional to 14,020.88 and 23,367.38

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Solution

The third proportional to 14,020.88 and 23,367.38 is: 38,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.88 : 23,367.38 = 23,367.38 : x
  2. Step 2: Convert to fraction form
    14,020.88/23,367.38 = 23,367.38/x
  3. Step 3: Cross multiply
    14,020.88x = 23,367.38 × 23,367.38
  4. Step 4: Simplify right side
    14,020.88x = 546,034,214.39
  5. Step 5: Solve for x
    x = 546,034,214.39/14,020.88
  6. Step 6: Final answer
    x = 38,944.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.