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Finding the Third Proportional to 10,074.38 and 21,969.98

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Solution

The third proportional to 10,074.38 and 21,969.98 is: 47,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.38 : 21,969.98 = 21,969.98 : x
  2. Step 2: Convert to fraction form
    10,074.38/21,969.98 = 21,969.98/x
  3. Step 3: Cross multiply
    10,074.38x = 21,969.98 × 21,969.98
  4. Step 4: Simplify right side
    10,074.38x = 482,680,213.44
  5. Step 5: Solve for x
    x = 482,680,213.44/10,074.38
  6. Step 6: Final answer
    x = 47,911.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.