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Finding the Third Proportional to 14,314.22 and 21,043.97

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Solution

The third proportional to 14,314.22 and 21,043.97 is: 30,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.22 : 21,043.97 = 21,043.97 : x
  2. Step 2: Convert to fraction form
    14,314.22/21,043.97 = 21,043.97/x
  3. Step 3: Cross multiply
    14,314.22x = 21,043.97 × 21,043.97
  4. Step 4: Simplify right side
    14,314.22x = 442,848,620.75
  5. Step 5: Solve for x
    x = 442,848,620.75/14,314.22
  6. Step 6: Final answer
    x = 30,937.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.