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Finding the Third Proportional to 10,022.91 and 21,650.63

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Solution

The third proportional to 10,022.91 and 21,650.63 is: 46,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.91 : 21,650.63 = 21,650.63 : x
  2. Step 2: Convert to fraction form
    10,022.91/21,650.63 = 21,650.63/x
  3. Step 3: Cross multiply
    10,022.91x = 21,650.63 × 21,650.63
  4. Step 4: Simplify right side
    10,022.91x = 468,749,562.89
  5. Step 5: Solve for x
    x = 468,749,562.89/10,022.91
  6. Step 6: Final answer
    x = 46,767.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.