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Finding the Third Proportional to 10,963.69 and 22,636.13

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Solution

The third proportional to 10,963.69 and 22,636.13 is: 46,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.69 : 22,636.13 = 22,636.13 : x
  2. Step 2: Convert to fraction form
    10,963.69/22,636.13 = 22,636.13/x
  3. Step 3: Cross multiply
    10,963.69x = 22,636.13 × 22,636.13
  4. Step 4: Simplify right side
    10,963.69x = 512,394,155.02
  5. Step 5: Solve for x
    x = 512,394,155.02/10,963.69
  6. Step 6: Final answer
    x = 46,735.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.