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Finding the Third Proportional to 10,731.94 and 22,443.47

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Solution

The third proportional to 10,731.94 and 22,443.47 is: 46,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.94 : 22,443.47 = 22,443.47 : x
  2. Step 2: Convert to fraction form
    10,731.94/22,443.47 = 22,443.47/x
  3. Step 3: Cross multiply
    10,731.94x = 22,443.47 × 22,443.47
  4. Step 4: Simplify right side
    10,731.94x = 503,709,289.53
  5. Step 5: Solve for x
    x = 503,709,289.53/10,731.94
  6. Step 6: Final answer
    x = 46,935.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.